Question

N a science lab, a number of rock samples are weighed. if the scientist finds one of the rocks to weigh 6 pounds and this is 47.5% of the total weight of all of the rocks, what is the weight of all of the rocks? if necessary, round your answer to the nearest tenth.

Answer 1

12.6 pounds

Explanation:

You want to find the total weight of rocks when one 6-lb rock is 47.5% of the total weight.

Whole

If w represents the weight of all of the rocks, then the fraction of that whole weight is ...

6 = 47.5% × w

Dividing by the coefficient of w gives ...

w = 6/0.475 ≈ 12.6

The weight of all of the rocks is about 12.6 pounds.