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Does the story ( 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 bag weigh? Matches the equation 3(x + 5) =17

1 Answer

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Answer:

D. 5x + 3 = 17

Weight of each book = x pounds = 2.8 pounds

Explanation:

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?

A. 3(x + 5) = 17

B. 3x + 5 = 17

C. 5(x + 3) = 17

D. 5x + 3 = 17

Weight of the empty travel bag = 3 pounds

Copies of book = 5

Weight of each book = x pounds

Total weight of 5 books = 5 * x

= 5x pounds

Total weight of the bag and books = 17 pounds

The equation is:

Total weight of the bag and books = Weight of the empty travel bag + Total weight of 5 books

17 = 3 + 5x

Can also be written as

5x + 3 = 17

Solve for x

5x + 3 = 17

5x = 17 - 3

5x = 14

x = 14/5

x = 2.8 pounds

Weight of each book = x pounds = 2.8 pounds

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