Question

At a hardware store a bag holds up to 1 pound of nails. Each penny nail (x) weighs 0.05 pounds and each wood nail (y) weighs 0.1 pounds. Which inequality shows the solution for all combinations of the two kinds of nails that will fit in the 1-pound bag?

Answer 1

For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y. If the bag holds one pound of nails, you would use the inequality ≤.

.05x + 0.1y ≤ 1

Answer 2

`0.05x+0.10y \leq 1`

Explanation:

Let the penny nails be represented by x

Let the wood nails be represented by = y

Each penny nails weigh = 0.05 pounds

Each wood nail weigh = 0.10 pounds

Now we have been asked about the inequality which shows the solution for all combinations of the two kinds of nails that will fit in the 1-pound bag.

So, the inequality becomes:

`0.05x+0.10y \leq 1`