Aperson 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? show work.

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)