Question

A jogger burned 96 calories during 8 minutes of jogging. At that rate, how

many calories would be burned during 14 minutes of jogging?

Answer 1

Solving Proportions

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

• 
  `\frac{4\hspace{3}stars}{8\hspace{3}hearts}=\frac{6\hspace{3}stars}{x\hspace{3}hearts}`

⇒ In this example, we are solving for x.

⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

`\frac{4\hspace{3}stars}{8\hspace{3}hearts}=\frac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8`

Solving the Question

We're given:

• 8 minutes of jogging = 96 calories burned
• 14 minutes of jogging = ? calories burned

Set up a proportion:

`\frac{8\hspace{3}minutes}{96\hspace{3}calories}= \frac{14\hspace{3}minutes}{x\hspace{3}calories}`

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

`8x=14*96\\8x=1344\\x=168`

Answer

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.