Question

Can someone help me with this proportion? I'm really bad at math:

'Jill burns 200 calories in a 3/4 hour workout. How many calories will she burn in a 3 hour workout?'

Answer 1

Answer: 800 calories

Explanation:

Let us set this up as a fraction

Firstly, convert 3/4 into a decimal

`3 / 4 = 0.75`

Now we can set up the fraction

Make sure to put the calories on the same side and hours on the same side as well. So it should be:
`(200)/(0.75)=(x)/(3)`

Then, solve

`(200)/(0.75)=(x)/(3)`

The fractions are supposed to be proportional meaning, if the denominator is a certain number when solved, the numerator should be the same, if solve likely. let me show you:

Divide 3 by 0.75

`0.75 / 3 = 4`

Now since the number isn't found yet, we will use the opposite operation, which is multiplication, in this case.

Multiply 200 to 4

`200 * 4 = 800`

Therefore, she will burn 800 calories in a 3-hour workout.