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?

Zariah Lynn

Zariah Lynn

Answered question

2023-03-22

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 & Explanation

Pfalzheimt3uj

Pfalzheimt3uj

Beginner2023-03-23Added 7 answers

The weight of the boxes is the first restriction. The crates' combined weight cannot be more than 2400. The total weight is (40x + 65y) since there are x 40-pound boxes and y 65-pound boxes.
40 x + 65 y 2400
The total number of boxes cannot exceed 45. Total number of boxes = (x + y). So x + y 45

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