Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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Question 464153: the sum of three numbers is 12. the frisst number is the differnce of the other two numbers. when you add the other two numbers and subtract 8 the result will be the first number.
Click here to see answer by lwsshak3(6481)

Question 464226: You purchased one pound of coffee for $20. At what price do you need to mark the coffee for sale in your coffee shop, if you wish to offer a 22% discount to your customers but you need to earn a 39% profit on the original cost?
Click here to see answer by jorel1380(2518)

Question 464314: 1 1/4 pounds of bananas sell for 80 cents. 1 1/3 pounds of apples sell for 90 cents. which fruit is cheaper?
Do I convert to ounces to solve the problem?
Click here to see answer by stanbon(57282)

Question 464225: Anne decides to sell 28 fruits (apples and watermelons) from this years harvest. This total number of fruits must be twice the number of water melons more than the number of apples. if she expects a total revenue of $86 by charging $3 per apple and $7 per water melon, hoe many apples and water melons should she sell?
I have done 2x+y=28
and 2(7x)+3y= 86
Dont think that is right....
Click here to see answer by stanbon(57282)

Question 464436: Ace, Bea, Cec, Dee, Eve, Fie and Geo are 1, 2, 3, 4, 5, 6 and 7 years old in some order. Dee is 3 times older than Bea. Cec is four years older than Eve. Fie is older than Ace and Ace is older than Geo, but the combined ages of Ace and Geo is greater than the age of Fie. What is Ace's age?
Click here to see answer by jjordan95(63)

Question 464578: Hi my name is Shaprice, and I having so much trouble in putting the numbers together in these word problems.
If 4 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 3 and 4 is added to the product. What is the number?
2x+4*2=3x+4
Am I setting this up right??
Click here to see answer by sudhanshu_kmr(1152)

Question 464772: Petrolyn oil is a combination of natural oil and synthetic oil- 5 parts natural oil for every 3 parts of synthetic oil. How many liters of natural oil are contained in 560 liters of Petrolyn oil?
Click here to see answer by josmiceli(9664)

Question 465424: I made an error in my submission. Please see this one. Sorry!
Consolidate Shirt Works uses the function given by V(t)= -2000t + 15,000 to determine the salvage value V(t), in dollars, of a color separator t years after it has been put into use.
a) What does the slope (coefficient of x) represent?
b) What do the x- and y-intercepts represent?

Click here to see answer by stanbon(57282)

Question 465591: How do I answer the word problem.
The perimeter of an isosceles triangle is 36 cm. The total length of the the congruent legs is 12 centimeters more than one-half the length of the base. Find the lengths of the three sides.
How is this???
I really need help!
Click here to see answer by ewatrrr(10682)

Question 465633: A disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time durinf 1 hour is 11 min, how many 30 second commercials were played that hour?
Click here to see answer by ewatrrr(10682)

Question 464812: what is the answer to 4x/-7 is greater than 10
Click here to see answer by sofiyac(695)

Question 465748: In 1988, a dairy in Alberta, Canada, created a sundae with approximately 1 lb. of topping for every 83.2 lb. of ice cream. The total of the two ingredients weighed approximately 45,225 lb. To the nearest tenth of a pound, how many pounds of ice cream and how many pounds of topping were there?
I don't think I wrote the equation correctly.
2x + 83.2 = 45,225
83.2
-45.225
=37,975
I rounded it to 38
2x=38
2 2
x=19
But we all know this is incorrect.

Click here to see answer by scott8148(6628)

Question 465917: This is my 3rd and last problem that has me stumped. I just want to say that yall are wonderful people to help me to work out and understand these problems. Thank you so much!
Transulate the situation into an equation and show work.
The sum of three consecutive odd integers is 85 less than four times the first integer?
Click here to see answer by bucky(2189)

Question 464830: Jack earns $11.50 per hour shoveling snow.
A) write a word equation for the amount of money he can make
Click here to see answer by sofiyac(695)

Question 466037: I need to solve the following equation using the graphing method: The perimeter of a soccer field is 340m. The lenght exceeds the width by 50m. I have the the problem solved by using P=2l+2w. How can i solve by using x and Y?
Click here to see answer by richard1234(5390)

Question 466041: At 9:00 a.m., a truck leaves the truck yard and travels west at a rate of 45 miles per hour. At 11:00 a.m., a second truck leaves along the same route, traveling at 60 miles per hour. When will the second truck catch up to the first.
Click here to see answer by Alan3354(30993)

Question 466040: A plane flying at 300 miles per hour has a 3 hr head start on a chase plane which has a speed of 800 mph. How far from the airport will the chase plane overtake the first plane?
Click here to see answer by ewatrrr(10682)

Question 466050: The height of an object thrown upward from the floor of a canyon 106 feet deep with an initial velocity of 120 feet/second is given by the equation:
h=-16t2 + 120t - 106
How long will it take the object to rise to the height of the canyon wall? Round answer to the nearest hundreth.
Click here to see answer by stanbon(57282)

Question 466094: Can you please help me with this problem, thanks(:
The number of gears a machine can make varies directly as the time it operates. If it can make 2088 gears in 8 hours, how many gears can it make in 9 hours?
Click here to see answer by ewatrrr(10682)

Question 466060: The height of an object thrown upward from the floor of a canyon 106 ft. deep, with an initial velocity of 120 ft/sec is given by the equation:
h=-16t2 + 120t-106 How long will it take the object to rise to the height of the canyon wall? Round answer to the nearest hundreth.
Click here to see answer by ankor@dixie-net.com(15645)

Question 466103: Cole’s student loans totaled $31,000. One of his loans was at 2.8% simple interest and the other at 4.5%. After one year, Cole owed $1024.40 in interest. What was the amount of each loan?
Click here to see answer by rfer(12654)

Question 466482: algebra, a baseball team played 139 complete games last season. they had 21 fewer wins than losses. how many games did the team win
Click here to see answer by jorel1380(2518)

Question 466521: When Simon was born, his father was 36 years old. Five years ago, his father was twice as old as Simon will be in 7 years time. How old is Simon?
Click here to see answer by ankor@dixie-net.com(15645)

Question 466675: two cyclists start at the same point and travel in opposite directions. one cyclist travels8km/h faster than the other. if the two cyclists are 270km apart after 5 hours what is the rate of each cyclist?
Click here to see answer by rfer(12654)

Question 466712: lindsey hires a plumber who charges $120 per visit plus $55 per hour. the plumber's bill costs $154.
a) write a linear equation to represent this situation. let x be the number of hours the plumber stayed.
b) solve the linear equation to determine the length of the plumbers visit
how do you work out the length of time that the plumber stayed. the answer is 37 minutes but i'm unsure of how to reach this answer.
Click here to see answer by mananth(12270)

Question 466741: During 2005 major league baseball season, the Chicago White Sox played 162 games. They won 36 more than they lost. What was their win-loss record that year?
Click here to see answer by rrr2001(7)

Question 466777: the sum of a polygon with (2n-3)sides is 62 right angles. find the value of n.
Click here to see answer by ccs2011(207)

Question 466784: a polygon has n side. one of its interior angles is 126 degrees while other angles each equal to 162 degrees, find the value of n.

Click here to see answer by Alan3354(30993)

Question 466742: the perimiter of a rectangle is 118m. The length is 8 m more than twice the width. Find the deminsions
Click here to see answer by rfer(12654)

Question 466868: Create a Euler diagram to determine whether the syllogism is valid or invalid. Submit your Euler diagram and solution to the Dropbox.

All asteroids fly through space.
The space shuttle Challenger flies through space.
The space shuttle Challenger is an asteroid.
Click here to see answer by Big Poop(157)

Question 466867: Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) If tomorrow is not Monday, then today is not Sunday.
II) Today is not Sunday and tomorrow is not Monday.
III) It is not the case that today is Sunday and tomorrow is Monday.
a. I and II are equivalent
b. II and III are equivalent
c. I and III are equivalent
d. None are equivalent
e. I, II, and III are equivalent
Click here to see answer by Big Poop(157)

Question 466866: Given p is false, q is true, and r is true, find the truth value of the statement (p ~q) ↔ ~r.
Show step by step work. Use keyboard shortcuts of --> for , <--> for ↔, V for , and ^ for , if needed.
Click here to see answer by Big Poop(157)

Question 466865: Construct a truth table for p ↔ (q ~p) and submit it to the Dropbox. Be sure to include all intermediate steps in your table.
(Points : 4)
Click here to see answer by Big Poop(157)

Question 466862: Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used. Submit your full detailed solution to the week 2, assignment 3 dropbox.

If the gazebo is made of wood, then the vine is growing on the gazebo.
The vine is not growing on the gazebo.
The gazebo is not made of wood.
Click here to see answer by Big Poop(157)

Question 466919: A toyata camry hybird gets 36 miles per gallon but cost $3,000 more than a similar standard a camry which gets 31 miles per gallon. How many miles would you have to drive the hybird so that the gas savings would exceed the added cost of the vehicle? assume the cost of gas is $2.49 per gallon
Click here to see answer by Big Poop(157)

Question 466922: How much money would yo have accumulated in an investment in order that the yearly interest paid (simple) is equal to $60,000 in the investment pays 7.2%? And using the target from the previous problem, find the monthly payment required to accumlate this balance over the course of 20 years.
Click here to see answer by Big Poop(157)

Question 466798: a polygon has n side. one of its interior angles is 126 degrees while other angles each equal to 162 degrees, find the number of sides.

Click here to see answer by Alan3354(30993)

Question 466977: need ur help on binomils, plz plz I am dying!
xan you help me to solve this problem?
The Perimeter of an isosceles triangle is 36cm. The total length of the two equal legs is 12 more then one-half the length of the base. find the lengts of three sides.
Click here to see answer by stanbon(57282)

Question 467024: The smiths travel form their home to Disney,a total of 850 miles over 2 days. If on the first day the average. Speed 55 MPH and the second day 65 MPH and total driving time was 15 hours. Label your variables and set system of equations to determine the time traveled on day one.
Click here to see answer by Alan3354(30993)

Question 467186: A two digit number is three less than seven times the sum of its digits. if the digits are reversed, the new number is 18 less than the original number. what is the original number?
Click here to see answer by stanbon(57282)

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