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Guess-and-check problems

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Sara bought several tops for $9.5 each and some skorts for $18 each. She spent $129 for 10 pieces. How many tops did she buy? How many skorts did she buy?

 

  tops

  skorts

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 A book costs $18 if bought online and $22.50 if bought at the store. The bookstore sold 250 books and took in $4995. How many books were bought online and how many were bought in the store?

 

  books were bought online

  books were bought in the store

Problem-Solving Strategies: Guess and Check

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Peter bought several notebooks at the first store for $2.25 each and he bought a few more notebooks at the second store for $2 each. He spent the same amount of money in both places and he bought 17 notebooks in total. How many notebooks did Peter buy in each store? 

 

  at the first store

  at the second store

 

 

Problem-Solving Strategies: Guess and Check

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On a two-day vacation trip by car, on the second day, you traveled 20 miles farther more than the first day. You traveled 800 miles. How many miles did you travel each day?

 

miles in the first day
miles in the second day

Problem-Solving Strategies: Guess and Check

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Jack’s dad is 40 years old. Jack is 14 years old. How old will each of them be when his dad is twice as old as Jack?

 

  Jack

  dad

Problem-Solving Strategies: Guess and Check

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Sarah wants to build a fence around her garden of a rectangular shape whose length is twice its width. Where I used a fence length of 120 meters. What are the dimensions of her garden?


meters in length
meters in width

Problem-Solving Strategies: Guess and Check

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Nadia takes a ribbon that is 48 inches long and cuts it into two pieces. One piece is three times as long as the other. How long is each piece?

 

  Short piece 

  Long piece

Problem-Solving Strategies: Guess and Check

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Sara’s father is 36. He is 16 years older than four times Sara’s age. How old is Sara?

 

  years old

 

 

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Marie is 13 years old and her mother is 35 years old. How old will each of them be when Marie is half of her mother’s age?

 

  Marie 

  mother

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Jone did 30 math problems in two days. On the second day, he did 6 more questions than on the first day. How many math problems does Jone do each day?

 

  Day 1

  Day 2