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

Step-by-step explanation:

Let us set this up as a fraction

Firstly, convert 3/4 into a decimal

$3 \div 4 = 0.75$

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: $\frac{200}{0.75}=\frac{x}{3}$

Then, solve

$\frac{200}{0.75}=\frac{x}{3}$

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

$0.75 \div 3 = 4$

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

Multiply 200 to 4

$200 \times 4 = 800$

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