Question
A worker uses a forklift to move boxes that weigh either 40 pounds or 65 pounds each. Let x be the number of 40-pound boxes and y be the number of 65-pound boxes. The forklift can carry up to either 45 boxes or a weight of 2,400 pounds. Which of the following systems of inequalities represents this relationship?
Answer: Option A
:
A
The first constraint is on the weight of the boxes. The total weight of the boxes cannot exceed 2400. Since there are x 40 pound boxes and y 65 pound boxes, total weight is (40x + 65 y). So,
40x+65y≤2400
The total number of boxes cannot exceed 45. Total number of boxes is (x + y). So,
x+y≤45
Hence, A is the correct choice.
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:
A
The first constraint is on the weight of the boxes. The total weight of the boxes cannot exceed 2400. Since there are x 40 pound boxes and y 65 pound boxes, total weight is (40x + 65 y). So,
40x+65y≤2400
The total number of boxes cannot exceed 45. Total number of boxes is (x + y). So,
x+y≤45
Hence, A is the correct choice.
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