Question

A person who weighs 240 pounds burns 180 calories per mile of running.

If a person burns thirty-six calories by running one mile, how much does the person weigh?

please show work.

Answer 1

Write and solve an equation of ratios:

240 lb x
----------------- = ----------
180 cal/mile 36 cal

Cross-multiplying, (240)(36) = 180 x.

Reducing this, (240)(4) = 20x
Reducing this further, (12)(4) = x, or x = 48 lb (answer)

Answer 2

240 lbs / 180 calories ?? lbs / 36 calories

cross multiply and divide

( 240 * 36 ) / 180 = 48 lbs
hope this helps