Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 255958: A check processor can process 1,500 checks in 20 minutes. How many checks can the equipment process in 2 hours?
Click here to see answer by rfer(16322) About Me 

Question 256003: Janelle cut a board 30 feet long into 2 pieces. The ratio of the lengths of the 2 pieces is 2:3. What is the length, to the nearest foot, of the shorter piece?
a) 5 b) 6 c) 12 d) 15 e) 18

Click here to see answer by Theo(13342) About Me 

Question 256020: A hot-air balloon 70 meters above the ground is falling at a constant rate of 6 meters per second while another hot-air balloon 10 meters above the ground is rising at a constant rate of 15 meters per second. To the nearest tenth of a second, after how many seconds will the 2 balloons be the same height above the ground?
A. 8.9 B. 6.7 C. 2.9 D. 0.4 E. 0.2

Click here to see answer by drk(1908) About Me 
Question 256020: A hot-air balloon 70 meters above the ground is falling at a constant rate of 6 meters per second while another hot-air balloon 10 meters above the ground is rising at a constant rate of 15 meters per second. To the nearest tenth of a second, after how many seconds will the 2 balloons be the same height above the ground?
A. 8.9 B. 6.7 C. 2.9 D. 0.4 E. 0.2

Click here to see answer by stanbon(75887) About Me 

Question 256019: The fixed costs of manufacturing basketballs in a factory are $1,400.00 per day. The variable costs are $5.25 per basketball. Which of the following expressions can be used to model the cost of manufacturing b basketballs in 1 day?
a) $1,405.25b
b) $5.25b − $1,400.00
c) $1,400.00b + $5.25
d) $1,400.00 − $5.25b
e) $1,400.00 + $5.25b

Click here to see answer by drk(1908) About Me 

Question 256011: The number 200 is increased by a certain percent. The result equals the number
obtained when 800 is decreased by the same percent. What is the percent?

Click here to see answer by stanbon(75887) About Me 

Question 256018: Sergio plans to paint the 4 walls of his room with 1 coat of paint. The walls are rectangular, and, according to his measurements, each wall is 10 feet by 15 feet. He will not need to paint the single 3-foot-by-5-foot rectangular window in his room and the 3 -foot-by- 7-foot rectangular door. Sergio knows that each gallon of paint covers between 300 and 350 square feet. If only 1-gallon cans of paint are available, which of the following is the minimum number of cans of paint Sergio needs to buy to paint his walls?
a) 1 b) 2 c) 3 d) 4 e) 5


Click here to see answer by Theo(13342) About Me 

Question 256005: A poll of 200 registered voters was taken before the election for mayor of Springdale. All 200 voters indicated which 1 of the 4 candidates they would vote for. The results of the poll are given in the table below.
Candidate Number of voters
Blackcloud 50
Lue 80
Gomez 40
Whitney 30
1) What percent of the voters polled chose Whitney in the poll?
A. 15% B. 20% C. 25% D. 30% E. 40%
2) If the poll is indicative of how the 10,000 registered voters of Springdale will actually vote in the election, which of the following is the best estimate of the number of votes Lue will receive in the election?
a) 1,500 b) 2,500 c) 4,000 d) 5,000 e) 8,000
3)If the information in the table were converted into a circle graph (pie chart), then the central angle of the sector for Gomez would measure how many degrees?
A. 54° B. 72° C. 90° D. 108° E. 144°

Click here to see answer by richwmiller(17219) About Me 

Question 256001: The 6 consecutive integers below add up to 447.x − 2, x − 1, x, x + 1, x + 2
x + 3 What is the value of x ?
a) 72 b) 73 c) 74 D) 75 e) 76

Click here to see answer by richwmiller(17219) About Me 

Question 255997: A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How many hours of work are included in a $210 bill for a
consultation?
a)2 4/5 b) 4 c) 4 2/3 d) 5 1/2 e) 7

Click here to see answer by richwmiller(17219) About Me 

Question 256010: A boy buys oranges at 3 for $1 and will sell them at 5 for $2. If he wishes to
make a profit of $10, how many oranges must he sell?

Click here to see answer by josmiceli(19441) About Me 
Question 256010: A boy buys oranges at 3 for $1 and will sell them at 5 for $2. If he wishes to
make a profit of $10, how many oranges must he sell?

Click here to see answer by nerdybill(7384) About Me 

Question 255992: Express the length of the perimeter of a circle in terms of the area of the circle.
Use A for the area in your answer.

Click here to see answer by josmiceli(19441) About Me 

Question 256051: A student says that taking one-half of a number is the same as dividing the number by one-half. Is this correct?
Click here to see answer by unlockmath(1688) About Me 

Question 256052: Michel’s class had 4 A’s, 10 B’s, 13 C’s, 8 D’s, and 2 F’s.
(a) What is the ratio of A’s to B’s?
(b) What is the ratio of F’s to total students?

Click here to see answer by drk(1908) About Me 

Question 256063: On Friday, the With-It Clothiers sold some jeans at $25 a pair and some shirts at $18 each. receipts for the day totaled $441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day?
if some tutor cold help me applying a algebra formula or some this would be very helpful though i can solve the problem i would really want to know how to solve it by algebra means THANKS!

Click here to see answer by CharlesG2(834) About Me 
Question 256063: On Friday, the With-It Clothiers sold some jeans at $25 a pair and some shirts at $18 each. receipts for the day totaled $441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day?
if some tutor cold help me applying a algebra formula or some this would be very helpful though i can solve the problem i would really want to know how to solve it by algebra means THANKS!

Click here to see answer by richwmiller(17219) About Me 

Question 256062: On Friday, the With-It Clothiers sol some jeans at $25 a pair and some shirts at $18 each. receipts for the day totaled $441. On saturday the store priced both items at $20, sol exactly the same number of each item, and ha receipts of $420. how many pairs of jeans an how many shirts were sold each day?
if some tutor cold help me applying a algebra formula or some this would be very helpful though i can solve the problem i would really want to know how to solve it by algebra means THANKS!

Click here to see answer by josmiceli(19441) About Me 

Question 256112: a union contract requires at least one union steward for every 20 union employees or fraction thereof. regular union employees ear $120/day and union stewards earn $144/day. a company has a need for 50 total employees and has a daily payroll budget of $6072. how many of each type of employee will meet the company's needs and consume all the budget?
Click here to see answer by stanbon(75887) About Me 
Question 256112: a union contract requires at least one union steward for every 20 union employees or fraction thereof. regular union employees ear $120/day and union stewards earn $144/day. a company has a need for 50 total employees and has a daily payroll budget of $6072. how many of each type of employee will meet the company's needs and consume all the budget?
Click here to see answer by josmiceli(19441) About Me 

Question 256050: Wheel’s Bicycle shop advertised a bicycle for 15% off for a savings of $36. The bicycle did not sell, so it was offered at a new 20% discount off the sale price.
(a) What did the bicycle sell for regularly?
(b) What is the amount of the new discount?

Click here to see answer by josmiceli(19441) About Me 

Question 256129: an incandesent 60-W lightbulb costs $.50 to buy and $.12 per day to use (24 hrs of usage). A compact fluorescent lamp (CFL) that produces the equivalent amount of ligh costs $2.50 to buy and $.02 per day to use. Determine the number of days of usage when these costs are equivalent. What is this equivalent cost?
How to set this up?

Click here to see answer by checkley77(12844) About Me 

Question 256126: When ordering new desks for classrooms, the business manager for a college uses the fact that there are approx. 9 times as many right-handed students as left handed. how many new desks of ecah type must be ordered if 600 new desks are needed?
How do I set this up?

Click here to see answer by checkley77(12844) About Me 

Question 256133: What would the solution to the system of equations to the right (in terms of a)? Briefly explain how you know that your answer is correct. Please help and thank you
Click here to see answer by richwmiller(17219) About Me 
Question 256133: What would the solution to the system of equations to the right (in terms of a)? Briefly explain how you know that your answer is correct. Please help and thank you
Click here to see answer by checkley77(12844) About Me 
Question 256133: What would the solution to the system of equations to the right (in terms of a)? Briefly explain how you know that your answer is correct. Please help and thank you
Click here to see answer by solver91311(24713) About Me 

Question 256167:
A 30% salt solution is prepared by mixing a 20% salt solution and a 45% salt solution. How many liters of each must be used to produce 60 L of the 30% salt solution?
Must use 2 variables.

Click here to see answer by checkley77(12844) About Me 

Question 256203: Polynomial word problems help!
A cement walk of uniform width surrounds a rectangular swimming pool that is 10 m wide and 50 m long. Find the width of the walk it its area is 864 m^2.

Click here to see answer by drk(1908) About Me 

Question 256216: Velocity problem help!
A rocket is fired upward at an initial velocity of 1008 ft/s from a tower that is 120 ft height. When will the rocket reach a height of 3896 ft above ground level?
H=vt-16t^2.

Click here to see answer by drk(1908) About Me 

Question 256222: The sum of the number of A's and B's on a math test is 15. There are more B's than A's, and the sum of the squares of the two numbers is 113. Find the number of A's and the number of B's.
Click here to see answer by richwmiller(17219) About Me 

Question 256195: A Salesman earns $300.00 per week plus 5% commission on all sales over $8000.00. One week his sales amounted to $15,000.00. What were his earnings that week?
Click here to see answer by checkley77(12844) About Me 

Question 256164: two buses that are 90 mi apart travel toward each other on an interstate highway. the slower bus which departs at 9:30 AM travels 5mi/h slower than the buse that departs at 9:45 AM. At 10:30 AM the buses pass each other. Determine the rate of each bus.
Must use two variables.

Click here to see answer by scott8148(6628) About Me 

Question 256232: A rocket launched from ground level with an initial velocity of 224 ft/s. When will the rocket reach a height of 528 ft? I know that h=vt-16t^2 will be used. So what happens after I plug it all in? 528=224t-16t^2?
Click here to see answer by Greenfinch(383) About Me 
Question 256232: A rocket launched from ground level with an initial velocity of 224 ft/s. When will the rocket reach a height of 528 ft? I know that h=vt-16t^2 will be used. So what happens after I plug it all in? 528=224t-16t^2?
Click here to see answer by Alan3354(69443) About Me 

Question 256311: Cutting beams: A 30-foot steel beam is to be cut into two lower pieces. The longer piece is to be 2 feet more than 3 times as long as the shorter piece. Find the length of each piece.
Click here to see answer by rfer(16322) About Me 

Question 256366: If a < b, then | a - b | is equivalent to which of the following?
a) a+b b) -(a+b) c) √(a-b) d) a-b e) -(a-b)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 256375: If the graphs of the equations 2y + x + 3 = 0 and ax + 3y + 2 = 0 intersect at
right angles in the plane, what is the numerical value of “a”?

Click here to see answer by Theo(13342) About Me 

Question 256376: Given that M, A, T, and H are positive integers where 9T = 2H, 5M = 3A, and
10H = 9A. Arrange M, A, T, and H in order from least to greatest.

Click here to see answer by Fombitz(32388) About Me 

Question 256391: The number n has 2002 digits, all of which are 2. What is the greatest common
divisor of n and 1111?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 256389: When 270 is divided by the odd number n, the quotient is a positive prime number
and the remainder is zero. What is n?

Click here to see answer by solver91311(24713) About Me 

Question 256466: Two batches of soup will serve 8 people. Lonnie needs to make enough soup for 120 people. If the recipe calls for 2 onions for one batch, how many onions will Lonnie need?
Click here to see answer by richwmiller(17219) About Me 

Question 256387: If x + y = 11 and y = 15/x, find the value of x^2 + y^2.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 256387: If x + y = 11 and y = 15/x, find the value of x^2 + y^2.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 256386: What is the value of the positive integer n for which the least common multiple of
36 and n is 500 greater than the greatest common divisor of 36 and n?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 256570: The base of a triangle is 3 times the length of the altitude to that base. The area of the triangle is 96 cm^2. Find the length of the base.
Click here to see answer by unlockmath(1688) About Me 

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690