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Match each equation to a story. (Two of the stories match the same equation.)

A. Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

B. A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

C. Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

D. Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?

E. Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?

1 Answer

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Final answer:

In equation A, each book weighs 2 pounds. In equation B, the length of each rectangle was increased by 4 feet. In equation C, each bookmark costs $2.

Step-by-step explanation:

  1. Equation A: Jada's teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. To find the weight of each book, subtract the weight of the bag from the total weight of the bag and books. Each book weighs 2 pounds.
  2. Equation B: A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. To find the increase in length for each rectangle, subtract the original length from the total length divided by the number of rectangles. Each rectangle was increased by 4 feet in length.
  3. Equation C: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. To find the cost of each bookmark, subtract the cost of the book from the total amount spent and divide by the number of cousins. Each bookmark costs $2.
  4. Equation D: Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. To find the weight of each packet of papers, subtract the weight of the groceries from the total weight of the bags. Each packet of papers weighs 2 pounds.
  5. Equation E: Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. To find the number of pencils Noah has, subtract the number of pens Andre has from the total number of pens and pencils. Noah has 12 pencils.

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