Bart burns 200 calories in 0.75 hour of kayaking. How many calories does he burn in a 3-hour kayaking trip?

1 Answer
Mar 4, 2018

Bart burns 800800 calories in his three-hour trip.

Explanation:

Bart burns 200200 calories in 0.75,0.75, or 3/4,34, hours.

Let's simplify this ratio of 200:3/4200:34 so we can see how many calories Bart burns in one hour. This will require multiplying both sides of the ratio by 4/3:43:

200(4/3):(cancel3)/(cancel4)*cancel(4)/cancel(3)

We end up with 800/3:1, meaning that every hour, 800/3 calories are burned.

We now need an equation.

Let's denote the calories Bart burns by C.

Furthermore, let's denote hours kayaked by h.

C=800/3h where h

Plugging in 3 for h, we get

C=(800/cancel3)(cancel3)=800

Bart burns 800 calories in his three-hour trip.