Integers & Shapes
The sum of three consecutive integers is -24. What are the integers?
-9, -8, -7
It will take them 36 minutes working together.
Two cyclists start at the same time from opposite ends of a highway that is 45 miles long. Riding toward each other, one cyclist is riding at 14 mph and the other travels at 16 mph. How long will it take them to meet?
It will take them 1.5 hours (1 hour 30 minutes) to meet.
Jesse earns $6 an hour babysitting his younger brother. His mom paid him a total of $71 for babysitting and his $20 allowance. How many hours did Jesse babysit?
He babysat for 8.5 hours.
How many mL of a 90% saline solution must be mixed with 4 mL of a 14% saline solution in order to make a 71% saline solution?
12 mL of a 90% saline solution must be mixed to create 16 mL of a 71% saline solution.
The length of the sides of a triangle are consecutive even integers. The perimeter is 42 inches. Find each side length.
12 inches, 14 inches, and 16 inches
Billy can paint a room in 6 hours. Ann can paint the same room in 4 hours. How long will it take them to paint the room together?
It will take them 2 hours 24 minutes working together to paint the room.
Sasha drives into the city to go shopping. Because of traffic, she averages only 15 mph on the way into the city. On her way home, she averages 35 mph. If the total travel time is 2 hours, how long did it take her to drive to the store?
Her drive to the store took 1 hour and 24 minutes.
It took Tom 25 minutes longer to do his math homework than his French homework. He spent a total of 2.25 hours on both subjects. How much time did he spend on math homework?
A chemist has 10 liters of a 20% salt solution. How many liters of pure water should be added to make a 5% solution?
30 liters of pure water should be added to make 40 liters of a 5% solution.
When 3 times a number is increased by 22, the result is 14 less than 7 times a number.
9
A driver can deliver his newspapers in 80 minutes. His friend delivers the same route in 2 hours. How long would it take them to do the job together?
Mrs. Lego left home at 7 am going towards New York City driving 45 mph. Realizing she forgot her phone, Mr. Lego drove after her starting at 8 am driving 65 mph. At what time will Mr. Lego reach her on the highway?
TriCity Taxi charges $3 for the first mile and $0.20 for each tenth of a mile thereafter. If your trip is measured in tenths of a mile, how far can you ride in a TriCity Taxi for $12?
You can ride for 5.5 miles.
How many quarts of a 30% acid solution must be mixed with 9 quarts of a 10% acid solution to make a 12% solution?
1 quart of a 30% solution must be mixed in order to make a 12% final solution.
A rectangular playground is enclosed by 440 feet of fencing. If the length of the playground is 20 feet less than 3 times the width, find the dimensions of the playground.
60 feet and 160 feet.
One pipe can fill a tank in 8 minutes, a second pipe can fill the tank in 12 minutes and a third pipe can fill it in 24 minutes. If the tank is empty, how long will it take all 3 pipes operating together to fill it?
It would take all 3 pipes working together 4 minutes to fill the tank.
Sisters Caitlin and Lisa leave their home traveling in opposite directions (on a straight road). Caitlin drives 20 mph faster than Lisa. After 4 hours, they are 250 miles apart. What are Caitlin and Lisa's rates?
Caitlin's speed is 41.25 mph. Lisa's speed is 21.25 mph.
The total cost of a carton of milk, one yogurt and half-dozen eggs is $4.25. The milk costs $1.10 more than the eggs. The eggs cost $0.45 more than the yogurt. How much does each item cost?
Yogurt = $0.75
Eggs = $1.20
Milk = $2.30
Kayla wants to make a 6% sugar solution. She has already poured 2 quarts of pure water into a beaker. How many quarts of a 10% sugar solution must she add to this to create the desired solution?
She must add 3 quarts of the 10% solution.
One supplementary angle is 5 more than 6 times the other angle. What is the measure of each angle?
The angle measurements are 25 degrees and 155 degrees.
Two printing presses working together can complete a job in 2 hours. If one press would require 6 hours to do the job alone, how many hours would it take the second press to complete the job alone?
DOUBLE JEOPARDY!!
A piggy bank contains $4.70 in nickels and quarters. There are 30 coins in all. How many of each kind are there?
14 nickels and 16 quarters
You have current test scores of 61, 70, 99 and 70. What is the minimum you must get on the last test to have a B on your report card? You must have an average score of at least 80 to have a B.
You need a 100 on the test.
How many kilograms of water must be evaporated from 10 kg of a 40% salt solution to produce a 50% solution?
2 kg of water must be evaporated