Suppose that 15 inches of wire costs 45 cents. at the same rate, how many inches of wire can be bought for 24 cents?

8 inches of wire for 24 cents

Step-by-step explanation:

Simplify. Find the amount it costs for 1 inch of wire. Divide 45 with 15:

45/15 = 3

1 inch of wire costs 3 cents.

Now, solve for the the amount of wire (x) you can get for 24 cents

(1/3)(8/8) = (x/24)

1 x 8 = 8

3 x 8 = 24

x = 8

8 inches of wire for 24 cents

~

8 inches

Step-by-step explanation:

We can use proportions to solve this problem.  Take the inches over the money.

15 inches        x inches

=

45 cents          24 cents

Using cross products

15*24 = x *45

Divide each side by 45

15*24/45 = x*45/45

8 =x

You can buy 8 inches