Question

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

Answer 1

Bart burns `800` calories in his three-hour trip.

Explanation:

Bart burns `200` calories in `0.75,` or `3/4,` hours.

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

`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.