Questions on Word Problems: Evaluation, Substitution answered by real tutors!

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Question 23148: A rope over the top of a fence has the same length on each side and weighs one third of a pound per foot. On one end hangs a monkey holding a banana, and on the other end a weight equal to the weight of the monkey. The banana weighs 2 ounces per inch. The length of the rope in feet is the same as the age of the monkey ,and the weight of the monkey in ounces is as much as the age of the monkey's mother. The combined ages of the monkey and it's mother are 30 years. One-half the weight of the monkey plus the weight of the banana is one-forth the sum of the weights of the rope and the weight.The monkey's mother is one half as old as the monkey will be when it is three times as old as it's mother was when she was one half as old as the monkey will be when it is as old as its mother will be when she is four times as old as the monkey was when it was twice as old as its mother was when she was one-third as old as the monkiey was when it was as old as its mother was when she was three times as old as the monkey was when it was one-fourth as old as it is now.

HOW LONG IS THE BANANA?
Click here to see answer by wuwei96815(245)

Question 21807: Solve the system by the substitution method.
x + 5y = 5
3x - 8y = -8
Click here to see answer by rapaljer(4667)

Question 23258: The largest angle of a triangle is 111 degrees greater than the smallest angle. The sum of the two smaller angles is 68 degrees less than the largest angle. Find the measure of each angle.
Click here to see answer by Paul(988)

Question 23400: what represents ''3 less then w''

Click here to see answer by stanbon(57246)

Question 23848: plaease help me use the substitution method to solve the linear system.
y = x-4
4x+y = 26
Click here to see answer by ilana(307)

Question 23857: i cannot figure this out!!!
" the second of two numbers is 1 more than twice the first. Their sum is 25. Find the numbers."
x=first number =
2x +1 = Second number =

Click here to see answer by Paul(988)

Question 23863:
ive tried to do this and i am stuck!!

" The second of two numbers is 3 less than twice the first. Their sum is 42. Find the numbers."
x = first number =
4x - 2 = second number =
Click here to see answer by Paul(988)

Question 24219: The product of a number and 3 is twice the sum of that number and five.
I can't seem to plot it or seperate it to solve the problem, please help!
thanks
Click here to see answer by elima(1433)

Question 24931: n to the power of 4 + 8n to the power of 3 + 15n to the power of 2
Click here to see answer by pwac(253)

Question 25095: story problems are the worst for me could somebody help?
An "N-gauge" train model is created using a scale of 1:160. If an actual train
engine, the "K-4" an early twentieth century engine, is 45 ft long, what is the length of an "N-gauge" model,of the model in inches?
Click here to see answer by Earlsdon(6287)

Question 25094: I have a word problem I do not understand could someone PLEASE help?
A toy airplane is 10 inches long. If the actual plane is 75ft. long, find the scale of the model.
Click here to see answer by Earlsdon(6287)

Question 25129: I hate story problems I just don't get them.
The actual distance from Fargo,ND to minneapolis,MD is 240 miles. if the scale
on a map is 1 inch=20 miles, how long on the map connecting the two cities?
Click here to see answer by Linz(9)

Question 25252: In the year 2010, 6.7% of the U.S. population is projected to be under the age of 5. If the population will be about 298 million, about how many people will be in this age range?
thanks!!!!!
Click here to see answer by wuwei96815(245)

Question 25253: A bag of candy has 6 orange pieces, 8 green pieces, and 11 red pieces. What is the probability that the first piece of candy you draw at random out of the bag is red or green?
Click here to see answer by wuwei96815(245)

Question 25323: Here is the problem. A bottle and its cork together cost $35.00. The bottle costs exactly $30.00 more than the cork. What is the cost of the cork? The obvious answer is $5.00 but at the bottom of the page it says Hint: The answer is not $5. Every time we set the problem up, we get $5.00.
Click here to see answer by Paul(988)

Question 25805: A $1.60 assortment of cards contains $0.20 cards and $0.15 cards. The number of $0.20 cards is 2 less than half the number of $0.15 cards. Find the number of each type of card.
Thank you!!
Click here to see answer by Paul(988)

Question 25803: Ribbons costing $0.20 each are mixed with ribbons costing $0.15 each. The mixture costs $1.20. The number of $0.20 ribbons is 3/4 of the $0.15 ribbons. Find the number of each type of ribbon in the box.
Thank You!!
Click here to see answer by elima(1433)

Question 25801: Mr. Lead want to mix pencils costing $0.15 each with pencils costing $0.35 each. The mixture will cost $3.45. The number of $0.35 pencils is 7 more then the number of $0.15 pencils. How many of each type of pencil should be included in the package??

Click here to see answer by elima(1433)

Question 25838: Icing on the Cake

There are 20 people at a birthday party.
The birthday cake is square.
It has icing all over the top and down all four rectangular sides.
The top of the cake is 20cm by 20 cm.

How should the cake be cut so that everyone has an equal share of the icing?

Click here to see answer by stanbon(57246)

Question 26493: if 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. find the number? im really having a hard time with this one. so far this is what i have. 2x-3=6+x. please let me know if i fomatted the problem correctly? thanks.
Click here to see answer by askmemath(368)

Question 26597: I am a mother of a 9th grade high school student trying to solve word problems. I do not know how to direct my son to the solution. Could you help me to set these problems into equations? Here are the instructions and the word problem: Write a system of equations for each problem and choose the best method to solve each system; solve and check your answers. Problem: To rent an apartment a one-time deposit is frequently required with the first month's rent. Roberto paid $900. the first month and a total of $6950. during the first year. Find the monthly rent and the amount of the deposit.
Click here to see answer by Alwayscheerful(414)

Question 26598: I am a mother of a 9th grade high school student trying to solve word problems. I do not know how to direct my son to the solution. Could you help me to set these problems into equations? Here are the instructions and the word problem: Write a system of equations for each problem and choose the best method to solve each system; solve and check your answers. Problem: A coin box of a vending machine contains six time as many quarters as dimes. If the total amount of money in quarters and dimes is $28.80 how many quarters and how many dimes are in the box?
Click here to see answer by Paul(988)

Question 26662: one half the sum of a number and six is less than 25. what is the number?
Click here to see answer by Earlsdon(6287)

Question 26960: how do u solve by using substitution
3x-y=1
2x+4y=3
Click here to see answer by elima(1433)

Question 27931: constance Morgenstern is a chemist. she needs a 20% solution of alcohol. she has a 15% solution on hand, as well as a 30% solution. how many liters of the 15% solution should she add to 3 liters of the 30% solution to get her 20% solution?
Click here to see answer by longjonsilver(2297)

Question 28231: The problem gives a chart of numbers with a difference of the same number- a pattern.ie. 14-1,12-2,10-3,8-4,etc. The first numbers are variable Y, and the 2nd numbers are var.X, ie.14=Y and 1=X. HOw do I find a formula for this?
Click here to see answer by venugopalramana(3286)

Question 28308: Please help me on my problem: The width of a rectangular ballfield is 96 yd. Find all possible lengths so that the perimeter of the ballfield will be at least 540 yd.
Thank you so much in advance.
Click here to see answer by longjonsilver(2297)

Question 28686: What 4 weights can be used to obtain the integer weights from 1 to 40 pounds using a balance scale? Describe a process for placing the weights. Weights can be placed on both sides of the scale.
Click here to see answer by askmemath(368)

Question 29097: Melissa has 5 times as much money as Manuel. They have $60.00 together. What equation can I write for this?

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

Question 29100: The price of an automobile tire has been reduced by $15.00. The cost of a set of 4 tires at the reduced price is $600.00. Use an equation to find the original cost of a tire.
Click here to see answer by anuram(1)

Question 29098: The cost of 8 CD's plus a sales tax of $1.34 is $105.26. What equation can I use to solve this?
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Question 28260: Dominic has 2 less magazines than 2 times what Alycia has. There is a total of 13 magazines. How many magazines does Alycia have?
Click here to see answer by Kalmetam(43)

Question 29973: Julieta ran a marathon of 26 miles in 3.5 hours. During part of the race she ran at 6 miles per hour, and the rest of the time she ran at 8 miles per hour. How long did she run at each speed?
Any help on how to write the equation to find the answer would be greatly appreciated.
Click here to see answer by Paul(988)

Question 29977: A 555 mile trip that took 5 hours was flown at two speeds. For the first part of the trip, average speed was 105 mph. Then the tailwind picked up, and the remainder of the trip was flown at an average speed of 115 mph. For how long did the plane fly at each speed?
Click here to see answer by Paul(988)

Question 29976: A total of 1096 people attended the concert at the County Fair. Reserved seats cost $25.00 eac and unreserved seats cost $20.00 each. If $26,170.00 was collected, how many of each type of ticket was sold?
Click here to see answer by josmiceli(9661)

Question 31054: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
Click here to see answer by longjonsilver(2297)

Question 31069: The length of a side of one square is 3 inches greater than the length of a side of a second square. If the area of the first square exceeds the area of the second by 51 squares inches, find the lengths of the sides of each square.
Click here to see answer by mukhopadhyay(490)

Question 31466: y=5z solve for z
Click here to see answer by askmemath(368)

Question 29975: Ten years ago Cleon and Kayla invested money in two companies: Cyberdyne and Compunetics. Their total investment was $4500. The Cyberdyne stock tripled and the Compunetics stock doubled, and now their investment is worth $11,000. How much did they originally invest?

Click here to see answer by checkley71(8403)

Question 32213: The volume V of a cylinder varies jointly as its height h and the square of the radius of its base r. If V=1368cm cubed when r=7cm and h=9cm, find V when r=14cm and h=5cm. Round to the nearest whole number.
Click here to see answer by checkley71(8403)

Question 32216: A= P + Prt Solve for t
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Question 32215: Wilson can row 4 mph on Eagle Pond in still water. On Shrike River, it takes him the same amount of time to row 6 miles upstream as it does 10 miles downstream. How fast is the current of the river?
Click here to see answer by checkley71(8403)

Question 32210: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its lenth. If a pendulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.
Click here to see answer by checkley71(8403)

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