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

Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)

Question 1102694: if x is divided by y, the quotient if 8 and the remainder if 3. If 8 is divided by z, the quotient is 4 and the remainder is 1. If x is divided by yz, the remainder is y+3. What is the quotient?
Click here to see answer by Edwin McCravy(20054)

Question 1102744: The difference between the squares of two numbers is 5. Three times the square of the first number increased by the square of the second number is 31. Find the numbers.
Click here to see answer by Boreal(15235)

Question 1102900: Claire invests $2,500. At the end of one year she has earned $150 in interest. What was the rate of return on her investment? numerical answer only;
Click here to see answer by jorel1380(3719)

Question 1102908: Each week I have $11 to spend on coffee. I require 10 cups of coffee a week to survive. Sometimes I drink Starbucks, but mostly have to brew a K-cup to stay within my budget. Starbucks costs $2 per cup and K-cups cost $0.50 each. How many times can I have have Starbucks in one week but still stay within my budget and make sure I get my 10 cups per week?
Click here to see answer by josmiceli(19441)

Question 1102916: A carriage wheel makes a revolution in a second more. The rate of carriage will be 2 2/3 miles per hr. less. Determine rate.
Let x = rate.
Partial solution with problem:
1/x + 1/10 = 1/(x - 2 2/3).
rate = distance/time.
Unsure how to continue. Non-homework.
Click here to see answer by Alan3354(69443)

Question 1102906: Hello!
An airplane's velocity with respect to the air is 580 mph and it is headed North 58 degrees West. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 mph. What is the true direction of the plane, and what is its speed with respect to the ground?
So the way that I need to solve it on my homework is to put the velocity vector of the airplane in component form and to put the velocity vector of the wind in component form, but to do this, I need the angle that the wind is blowing, and this is not given in the problem. After both the wind and airplane's velocity vectors are in component form (I know how to do this), I can add them and solve the problem. Thanks for your help!
Click here to see answer by Alan3354(69443)

Question 1102925: Ref. Question 1102916:
Question re-worded;
The wheels of a carriage take one more second to revolve, resulting in the rate per hr. being 2 2/3 miles less. Determine rate.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1102965: Ref. Question
Click here to see answer by richwmiller(17219)

Question 1103055: A developer bought 900 acres of land for 680,000$. Some was bought at 600$ per acre, some for 800$ per acre and some for 1000$ per acre. How much of each did her buy if he bought twice as many acres at 600$ as he did at 1000$?
Click here to see answer by Fombitz(32388)

Question 1103115: A tree 40 feet tall casts a shadow 60 feet long. What is the sun's angle of inclination?
Click here to see answer by josgarithmetic(39613)

Question 1103145: Hi
an iron bar is cut into 3 equal parts. One half of A , three eighths of B and one third of C had a mass of 58 kg. What was the original mass of the iron bar.
thanks
Click here to see answer by jim_thompson5910(35256)

Question 1103164: A farmer has 2400 feet of fencing and wants to fence off a rectangular field that borders a straight river. He needs no fence along the river. What are the dimensions of the field that has the largest area?

Thank you!
Click here to see answer by Fombitz(32388)

Question 1103247: A container has a capacity of a cu. ft. of water. Determine weight of milk the container will hold.
A cu. ft. of water weighs 62.5 lbs. and 1 gram per cubic centimeter.
Milk weighs 1.03 gms. per c.c., and 64.2 lbs. per cu. ft.
Not sure how to continue. Non-homework.
Click here to see answer by josgarithmetic(39613)

Question 1103253: Tong and Phillip are working as counselors in a day camp for kids. One of their tasks is to prepare lemonade for snack break. In the camp's recipe box they find three recipes for making lemonade from concentrate:
Recipe A: 2 cups concentrate 3 cups cold water
Recipe B: 4 cups concentrate 8 cups cold water
Recipe C: 3 cups concentrate 5 cups cold water
Which recipe will make juice that is the most lemony tasting? Explain in detail how you decided.
Click here to see answer by Theo(13342)

Question 1103255: Tong and Phillip are working as counselors in a day camp for kids. One of their tasks is to prepare lemonade for snack break. In the camp's recipe box they find three recipes for making lemonade from concentrate:
Recipe A
2 cups concentrate
3 cups cold water
Recipe B
4 cups concentrate
8 cups cold water
Recipe C
3 cups concentrate
5 cups cold water

Assume that each of the 240 campers gets 1/2 cup of lemonade. Calculate how much concentrate and how much water are needed for each of the three recipes. Explain in detail your method of calculation.

Click here to see answer by Theo(13342)

Question 1103309: I need some help figuring out this word problem.
At the fair you have to pay to get in and then for each ride. You spent a total of $20.50 and went on
5 rides. Your brother spent a total of $26.50 and went on 7 rides.
Let x be the number of rides and y be your total cost.
How much would it be for you to go on 10 rides?
Click here to see answer by stanbon(75887)

Question 1103348: Aaron has 256 cans of soup that he needs to pack into boxes that hold 30 cans each. How many cans of soup are left over after he fills as many boxes he can?
Click here to see answer by Theo(13342)

Question 1103357: Hi
when belinda purchased 6kg of rice she was 6 dollars short.when she purchased 8kg of the same type of rice she was 14 dollars short.how much money did she have.
Thanks

Click here to see answer by Theo(13342)

Question 1103366: Hi
there were 121 pupils in a class. 8/9 of the boys and 4/5 of the girls were greek.the rest were english.if there were 104 greek pupils, how many greek boys were in the class.
thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 1103364: Hi
there are 403 workers in a factory.3/5 of the male workers and 3/4 of the female workers are local.the rest are foreigners. If there were an equal number of male and female foreign workers, how many female workers were local.
thanks
Click here to see answer by Theo(13342)

Question 1103375: The mass of one particle is
8.9 � 10−18
grams and the mass of a second particle is
5.5 � 10−14
grams. How many times bigger is the second particle than the first particle? (Round the decimal value to one decimal place and express your answer in scientific notation.)
Click here to see answer by Alan3354(69443)

Question 1103435: Hi
1/3 of the children were boys.when 20 boys left, the number of boys decreased to 1/4 of the total number of children. How many children were at first.
thanks
Click here to see answer by josmiceli(19441)

Question 1103481: A rectangular auditorium seats 1170 people. The number of seats in each row exceeds the number of rows by 19
. Find the number of seats in each row.

Click here to see answer by Alan3354(69443)

Question 1103506: If someone is going 65 miles on the way to drop off freight
and 55 miles an hour on the way back
and it took them 8 hours round trip
How long does it take for each trip?
Click here to see answer by josgarithmetic(39613)

Question 1103522: A business owner spent $4000 for a computer and software. For bookkeeping purposes, he needs to post the price of the computer and software separately. The computer costs 4 times as much as the software.
What is the cost of the software?
Click here to see answer by richwmiller(17219)

Question 1103559: Mary walks 20m diagonally across a rectangular field. She then returns to her starting position along the outside field. The total distance she walks is 48m. What are the dimensions of the field?
Click here to see answer by josgarithmetic(39613)

Question 1103616: A photo measures 10cm by 8cm. The photo is cropped by cutting a strip of a constant width of the top and one side of the photo. If the new area of the new photo is reduced to 62.5% of the original area, find the width of the cut and the new dimensions of the cropped photo.
Click here to see answer by Boreal(15235)

Question 1103664: Lia walks to the mall from her house at 5mph. 10 minutes later, Lia's sister Megan starts to ride her bike from the same house at 15mph to the mall to meet Lia. They arrive at the same time. How far is the mall from the sister's house? How long did it take Megan to get there?
Click here to see answer by josmiceli(19441)

Question 1103694: Person A can paint the neighbor's house 4 times as fast as Person B. The year A and B worked together, it took them 2 days. How long would it take each to paint the house?
Click here to see answer by stanbon(75887)

Question 1103718: David can clear a lot in 1.5 hours. His partner can do the same job in 3.5 hours. How long will it take them to clear the lot working together?
Click here to see answer by Fombitz(32388)

Question 1103701: Five thousand tickets are sold for $20 each 1 Ticket. 1 ticket will win $5,000; 2 tickets will win $3000; and 5 tickets will win $1000 ticket. Let x denote the net again from the purchase of a randomly selected ticket
Click here to see answer by Fombitz(32388)

Question 1103720: Jose can clear a lot in 1.5 hours. His partner can do the same job in 4.5 hours. How long will it take them to clear the lot working together?
Click here to see answer by ikleyn(52747)

Question 1103729: Car 1 has a full tank of gas, 13 gallons, but is leaking 2 gallons a week. Car 2 only has 8 gallons of gas but is also leaking at 1 gallon a week. When will the two cars have the same amount of gas in their tanks?
Solve the equation: X=?
Click here to see answer by ikleyn(52747)

Question 1103728: Car 1 has a full tank of gas, 13 gallons, but is leaking 2 gallons a week. Car 2 only has 8 gallons of gas but is also leaking at 1 gallon a week. When will the two cars have the same amount of gas in their tanks?
Click here to see answer by ikleyn(52747)

Question 1103730: Explain what is meant by a lurking variable, and provide an example. Why do we need to worry about lurking variables when analyzing correlation?
Click here to see answer by Alan3354(69443)

Question 1103805: A jet plane traveling at 510 mph overtakes a propeller plane traveling at 300 mph that had a 2� hour head start. How far from the starting point are the planes?
Click here to see answer by ikleyn(52747)

Question 1103791: A number of quarts of apple juice worth .35 cents per quart and a number of quarts of orange juice worth .15 cents per quart is to be mixed to produce 100 gal. of fruit juice for sale at .80 cents per gal. Calculate amts. of apple and orange juice used.
Let x = amt. of apple juice.
Let y = amt. of orange juice.
4 quarts = 1 gal.
Not sure how to solve. Non-homework.
Click here to see answer by josgarithmetic(39613)

Question 1103820: Suppose that an open box is to be made from a square sheet of cardboard by cutting out a 3-inch squares from each corner then folding. If the box is to have a volume of 75 cubic inches, find the original dimensions of the sheet of cardboard.

Click here to see answer by josgarithmetic(39613)

Question 1103863: Explain what is wrong with the following statement: "We have concluded that there is a high correlation between the gender of drivers and the rates of automobile accidents."
Click here to see answer by richwmiller(17219)

Question 1103693: A caf� owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to the cost of printing, the border should have an area of 48 square inches. The width of the border needs to be uniform around the entire menu. She has already determined that her food listings will fit within a 13-inch by 9-inch rectangular area.

The area of the decorative border can be modeled by the following equation, where x represents the width of the decorative border.

___x2+___=___
x =
Is it reasonable for the border to be 2.5 inches wide? ___
(yes/no)
Click here to see answer by josgarithmetic(39613)

Question 1103962: Hi thomss and zack had some toy cars.they were given an equal number of toy cars and zack now had twice the number of toy cars as before. 2/3 of zacks toys were now 1/2 of Thomas toy cars. If zack had 36 more toys than Thomas now.
How many toy cars were given to them altogether.
How many toy cars did Thomas have at first.
thanks
Click here to see answer by ankor@dixie-net.com(22740)

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