Question

The weight of 12 sheets of paper varies directly as the number of sheets. If 90 sheets of paper weigh 8 grams, how many sheets of paper will weigh 6 grams?

a. 6
b. 120
c. 80
d. 100

Answer 1

To solve the problem, set up a proportion by using the weight of the paper and the number of sheets. Cross multiply and solve for the unknown variable.

Step-by-step explanation:

To solve this problem, we can set up a proportion using the given information. We know that the weight of the paper varies directly with the number of sheets. So, if 90 sheets weigh 8 grams, we can set up the proportion as follows:

90 sheets/8 grams = x sheets/6 grams

To solve for x, we can cross multiply:

90 * 6 = 8 * x

Simplifying the equation, we get:

540 = 8x

Dividing both sides by 8, we get:

x = 67.5

Therefore, 67.5 sheets of paper will weigh 6 grams.