5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags | MathCelebrity Forum

5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags

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5 books and 5 bags cost $175. What is the cost of 2 books and 2 bags

Let the cost of each book be b and the cost of each bag be c. We're given
5b + 5c = 175

We can factor this as:
5(b + c) = 175

Divide each side of the equation by 5, we get:
(b + c) = 35

The problem asks for 2b + 2c

Factor out 2:
2(b + c)

we know from above that (b + c) = 35, so we substitute:
2(35)
70
 
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