One Variable Word Problems Practice

Mary is three times as old as Sue. Ted is eight years younger than Sue. Their ages have a sum of 122. How old is Mary?

Zoe has two co-workers who each worked half as long as Zoe. Zoe's shift supervisor worked six hours more than Zoe. Together, everyone worked a total of 132 hours. How many hours did Zoe's shift supervisor work?

Your piggybank has fifteen more quarters than dimes. Together, the total monetary value is $23. How many quarters are in the piggybank?

A bank robber has $1,295 total in his money bag, which has only $5 and $10 bills. There are 20 fewer $5 bills than there are $10 bills. How many $5 bills are in the money bag?

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

• 0. c = 45−(5+3)−(3+2)+17

• 0. c = 45−(5×3)−(3×2)−17

• 0. c = 45−(5+3)−(3+2)−17

• 0. c = 45−(5×3)−(3×2)+17

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

An art teacher had 237 colored pencils left over from last year. This year, he bought 26 boxes of colored pencils that had 16 pencils in each. He also bought 15 boxes that had 54 pencils in each. Finally, when he was sorting the pencils, 19 rolled under the cabinet and were lost.

Solve the following equation to determine c, the number of colored pencils the art teacher has now.

c = 237 + [ (26 ∙ 16) + (15 ∙ 54) ] – 19

• 2,179

• 187,652

• 1,444

• 183,095

A submarine descends at a rate of 40 feet each minute. It will take (a)   to descend 320 feet.

• 280 minutes

• 8 minutes

• 360 minutes

• 6 minutes

A submarine descends at a rate of 40 feet each minute. How long will it take to descend 320 feet?

• 280 minutes

• 8 minutes

• 360 minutes

• 6 minutes

You work at a concession stand at a fair, where you sell only 90 hats and 200 T-shirts that day, making a total revenue of $4,500. If T-shirts costs eight dollars more than hats, what would be the total price of FOUR T-SHIRTS? You do not need the dollar sign.