Question

13 A local gym uses a set of weights with a total mass of 850 pounds. The vet consists of 10-pound weights and 40-pound weights, as represented by the equation shown. There are 12 40-pound weights. What does the solution to this situation represent? (1 Point) 10n + 40 (12) = 850 The total weight, in pounds, of the 10 pound weights in the set The total weight, in poundss, of the 40 pound weights in the set The number of 10 lb weights in the set The number of 40 lb weights in the set

Answer 1

There are 10-pound weights and 40-pound weights and the total weight of the set is 850 pounds.

The given equation is:

`10n+40(12)=850`

We know that 850 represents the total weight of the set. Thus:

10n represents a weight, and 40(12) also represents a weight.

The term 40(12) in the equation, tells us that there are twelve 40-pound weights and 40(12) is the weight of those 12 weights.

The term 10n in the equation, tells us that there are "n" 10-pound weights, and 10n is the total weight of those n 10-pound weights.

When we find the solution for "n" we will have found the number to 10-pound weights in the set.

Answer:

The number of 10 lb weights in the set