Question

Anna received bags of cookies for her store. Some bags were 1/2 pound, and some were 1 pound in weight. A total of 100 bags were delivered with a combined weight of 36 pounds. Enter the number of bags of cookies in the delivery that weigh 1/4 pound. There are ___ bags of cookies in the delivery that weigh 1/2 pound. a. 36 b. 64 c. 50 d. 14

Answer 1

To find the number of bags of cookies in the delivery that weigh 1/4 pound, we need to subtract the weight of the bags that weigh 1 pound from the total weight of the delivery. There are 64 bags of cookies in the delivery that weigh 1/2 pound.

Step-by-step explanation:

To find the number of bags of cookies in the delivery that weigh 1/4 pound, we need to subtract the weight of the bags that weigh 1 pound from the total weight of the delivery. Let's solve the problem step-by-step:

1. Let's assume that the number of bags that weigh 1/2 pound is x.
2. The weight of 1 bag that weighs 1/2 pound is 1/2 pound, so the total weight of the bags that weigh 1/2 pound is (1/2)x.
3. The weight of 1 bag that weighs 1 pound is 1 pound, so the total weight of the bags that weigh 1 pound is 1(100 - x).
4. According to the problem, the combined weight of the bags is 36 pounds, so we can write the equation: (1/2)x + 1(100 - x) = 36.
5. Solving this equation, we get x = 64.

Therefore, there are 64 bags of cookies in the delivery that weigh 1/2 pound.

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