On the blueprint of their new​ home, Ben and Heather notice the bathtub measures 6 in. by 7 in. They know that the actual bathtub will be 7.7 ft long. How wide will the tub​ be?

1 answer

First, we need to convert the length of the bathtub from feet to inches.

7.7 ft = 7.7 ft x 12 in/ft = 92.4 in

Since the blueprint shows the length is 6 in and the actual length is 92.4 in, we can set up a proportion to find the width of the tub:

6 in / 7 in = x in / 92.4 in

Cross multiplying:

7( x ) = 6 * 92.4
7x = 554.4
x = 554.4 / 7
x = 79.2 in

Therefore, the width of the tub will be 79.2 inches.