Construction workers use ratios regularly to make quick calculations. On a particular roof the ratio, called the pitch, is 512. That means that for every 5 inches the roof goes up, it goes over 12 inches. How wide is a roof that goes up 80 inches?

192 inches wide

Step-by-step explanation:

5 inches up = 12 inches over

80 inches up = x inches over?

from the information given we can find the quotient of the ratio 80/5.

80/5 = 16

now that we know the quotient of the ratio is 16 we can solve the equation x/12 = 16 by multiplying both sides of the equation by 12 to get x = 192.

x/12 = 16 - -> 16*12 = x - -> 16*12 = 192

double check by making sure the ratios add up and you get the same answer:

192/16 = 12

80/16 = 5

192 inches wide. That's the answer