Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Question 27164: one number is four less than three times another. if their sum is increased by five, the results is tweny-five. find the numbers
Click here to see answer by elima(1433)

Question 27361: Please help me, I know this is an easy one but I cannot get the equation. Please translate the problem to an equation. Jeremy is one more than six times as old as Barbara. The difference of their ages is 66. How Old are they?
I have X=Barbara Age
X+1(6)=Jeremy's age X+X+1(6)=66 What is my problem
Thank you

Click here to see answer by Paul(988)

Question 27392: One integer is eleven less than two times another. If the sum of the integers is 13, find the two integers.

Click here to see answer by sdmmadam@yahoo.com(530)

Question 27389: The sum of two consecutive even integers is three times four less than the smallest integer. What are the integers?
Click here to see answer by Eric Johnston(7)

Question 27391: The sum of the product of 3.49 and a number and the product of 2.99 and the sum of the number and 60 is 795. What is the number?
Click here to see answer by stanbon(57342)

Question 27390: Find three consecutive integers such that the sum of three times the first integer, one-third of the second integer, and eight times the third integer is -29.
Click here to see answer by stanbon(57342)

Question 27370: I have one more here. I had 11 problems to do and this is the last one I've gone brain dead. Jake paid $100.70 for a color printer. This price included a 6% sales tax. How much did the printer itself cost.
X=price of printer
X(6)= total price of printer
Translate to equation
X+X(.06)=100.70
Is this correct? Thank you
Click here to see answer by stanbon(57342)

Question 27434: A two digit number is two less than six timers the sum of its digits. The tens digit is one more than the units digit. Find the number.
Click here to see answer by Paul(988)

Question 27438: I need your help to show the algebraic, (if there's such a word), formula for the following.
There are 20 children in a class. There are 8 more boys than girls. How many boys and girls are there in the class?
I know the answer, I just don't know how to get there. I know there are 6 girls and 14 boys in the class. Please help. I believe the answer is right under my nose but just can't grasp it.
Thanks,
tgarel
Click here to see answer by longjonsilver(2297)

Question 27475: A 230 second song is divided into three parts. The beginning, middle and end. The beginning is one-sixth as long as the end. The middle is one half as long as the end. Find the length of each part. Thanks for your help.
Click here to see answer by MOD(6)

Question 27695: what are three consecutive even intergers whose sum is 114?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27767: The sum of the squares of two consecutive positive intergers is 85. What are the intergers?

Click here to see answer by Paul(988)

Question 27771: A playground is 25m by 40m. It is surrounded by a paved skating path of uniform width. The combined area of the playground and path is 1,426 square meters. How wide is the path?
Click here to see answer by Paul(988)

Question 27769: The sum of two numbers is 12. Three times the product of the number is 105. What are the numbers?

Click here to see answer by Earlsdon(6287)

Question 27812: Four times the sum of a number and 5 equals 64.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27770: The perimeter of a rectangle is 64cm. The area is 240cm square. What are its dimension?
Click here to see answer by sdmmadam@yahoo.com(530)

Question 27820: I have one more problem that is due tomarrow please help.
The perimeter of a triangle is 207MM. If the lengths of the sides are consecutive odd integers, find the length of each side. I'm really not for sure how to sit up the equation. Thank you
Click here to see answer by bmauger(101)

Question 27819: Please help! The sum of the measurers of the angles of any triangle is 180 degrees. In a triangle ABC, angels A and B have the same measure, while the measure of angel C is 60 degrees larger than each of A and B. What are the measures of the three angles. I have started with
X=A&B angle
X+60= angle C
X+X+60=180
I just don't think I'm correct. Thank you
Click here to see answer by bmauger(101)

Question 27822: If 5 is added to a number, the result is the same as that obtained by multiplying it reciprocal by 14. What is the number?
Click here to see answer by bmauger(101)

Question 27916: I need help please. My question is: The sum of two consecutive even numbers is 50. Find the numbers.
Thanks.
Click here to see answer by bmauger(101)

Question 27918: I need help please. The perimeter of a triangle is 195mm. If the lengths of the sides are consecutive odd integers, find the length of each side.
Thank you.
Click here to see answer by Earlsdon(6287)

Question 27905: the sum of two consecutive integers is -76 . Find the two integers
Click here to see answer by bmauger(101)

Question 27924: Can someone please help me. My question is "The sum of three consecutive page numbers is 99. Find the numbers". I began to solve the problem as follows:
x + (x + 2) = 99
3x + 2 = 99
3x + 2 - 2 = 99 - 2
3x = 97
3x/3 = 97/3
x = 32.33
I have messed up some where. I thank you in advance.
Pam
Click here to see answer by bmauger(101)

Question 28471: One maid can clean the house three times faster than another. Working together they can clean the entire house in 3 hours. How long would it take the faster maid cleaning alone.
SO far I can only make out 3x. I cannot figure out the rest of the equation.
Click here to see answer by josmiceli(9675)

Question 28553: A satellite of mass 225kg in located 8.62 x 10^6 above Earth's surface.
Determine the magnitude and the direction of the gravitational force on the satellite.
My book says the answer is 3.99 x 10^3N and for directiont is 1.77m/s^2.
Thanks.

Click here to see answer by stanbon(57342)

Question 28558: what is 30% off $200.
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Question 28573: Here's a little conundrum based on St. Peter's game. Say I have 11 cans, 5 of which contain tuna and 6 of which contain dog food. If I count off by nines, dropping every ninth can, am I guaranteed to end up with a can of tuna in the end. There is an easy way to prove this. First put them in alternating order and count off. Note there are also two ways of counting - either always starting(counting 1) with a can on one of the ends or starting (counting 1) with every tenth can.
Click here to see answer by venugopalramana(3286)

Question 28663: find the two-digit number whose tens is three less than the units digit. the original number is 6 more than 4 times the sum of the digit. solve.
Click here to see answer by Paul(988)

Question 28714: Diophantus, the father of algebra, told this when ask his age. My youth lasted one-sixth of my life. I grew a beard after one-twelfth more. After another one-seventh, I married. Five years later I had a son. My son lived half as long as i did and then i died 4 years after my son. How old was i when i died?
I think the Variavles at death and 2x+4 at is father age at death but i cant setup the equation to solve.
Click here to see answer by Paul(988)

Question 28806: Suppose that bill walked, jogged and ran 490 yards to reach home. He walked twice as far as he jogged and ran half as far as he jogged. Show how to find the number of yards covered with each method by letting a variable represent one of the unknown quantities.
Click here to see answer by stanbon(57342)

Question 28997: The sum of three consecutive integers is negative fifty seven. Find the integers
Click here to see answer by sdmmadam@yahoo.com(530)

Question 28998: Can someone please help me? A butcher has some hamburger that is 21% fat and some that is 15% fat. How many pounds of each should be mixed to make 84 pounds of hamburger that is 17% fat?
Thank You.
Click here to see answer by longjonsilver(2297)

Question 29019: I have came to this. The sum of two numbers is 82. The second is 6 more than 3 times the first. What are the two numbers?
I got loat when I got to this point can anyone help me
Click here to see answer by wuwei96815(245)

Question 29048: One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
Click here to see answer by sdmmadam@yahoo.com(530)

Question 29191: What 3 consecutive odd numbers in a row when added together make up 501?
Click here to see answer by Paul(988)

Question 29230: Please help me solve this word problem, it has got to be easy but my brain is fried...The Jaspers have a jar where they collect nickels, dimes, and quarters. When they count the change in the jar, there are twice as many nickels as there are quarters. If there is $15.30 in dimes and $74.80 in all, how many quarters are there? Here is what we have tried...74.80-15.30=2n;59.50=2n;n=29.75..but that just doesn't work out right. please help I need it for school Monday. Thank you
Click here to see answer by Paul(988)

Question 29336: Help. The sum of half a number and its reciprocal is the same as 51 divided by the number. Find the number.
Click here to see answer by Paul(988)

Question 29435: the problem is: a 45ft rope is cut into 3 peices. the 2nd peice must be twice as long as the 1st peice. the 3rd peice must be 9 feet longer than three times the length of the second peice. how long should each peice be?
i have gotten as far as:
1st peice is x
2nd is 2x(x)
3rd is 9+3(2x(x).
so it goes to x+2x(x)+9+3(2x(x))= 45
Im lost from there.
Click here to see answer by Paul(988)

Question 29514: what is the next number after 30?
6 24 18 48 30 ?
Click here to see answer by Kalmetam(43)

Question 29525: what 32 consecutive numbers equal 3,036
I've already tried beginning numbers from 0-64 and it still didn't work!
Please help me!
Click here to see answer by askmemath(368)

Question 29633: Find a number such that the sum of the number plus 12 times its reciprocal is 8. There are two solutions. How do I do this problem? Could you show me the steps?
Click here to see answer by Paul(988)

Question 29668: please help me here! janet and lynn live 8 blocks apart in the opposite directions from their office. If Lynn lives 1 block less than twice as far from the office as Janet does, how far does each girl live from the office?

Click here to see answer by Cintchr(481)

Question 29735: Four consecutive even integers whose sum is 244?
Click here to see answer by stanbon(57342)

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