High School

A factory worker loaded some boxes onto a cart. Each box has the same weight. If the total weight loaded onto the cart is \((122n + 7)\) pounds, where \(n\) represents the number of boxes, what is the weight of a single box?

A. \(122n + 7\) pounds
B. \(122n\) pounds
C. 7 pounds
D. 122 pounds

Answer :

Final answer:

The weight of a single box can be found by dividing the total weight loaded onto the cart by the number of boxes. The weight of a single box is 122 + 7/n pounds. The correct answer is a.

Explanation:

The weight of a single box can be found by dividing the total weight loaded onto the cart by the number of boxes. Since each box has the same weight, we can represent the weight of a single box using the variable 'w'. So, we have the equation:

(122n + 7) = nw

To isolate 'w', we can divide both sides of the equation by 'n'. This gives us:

w = (122n + 7) / n

By simplifying, we get:

w = 122 + 7/n

So, the weight of a single box is 122 + 7/n pounds.

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