Question

The circle graph shows the percentage of time Jacob spent on homework in each subject last week.Time Spent on Homework12.5%25%artmathhistory25%sciencebandpractice25%12.5%Jacob spent 16 hours last week doing homework. How many more hours did Jacob spend on science homework than band practice?

Answer 1

We are given a circle graph that shows the time spent on homework last week.

Jacob spent a total of 16 hours doing homework.

The time spent on doing science homework is given by

$\begin{gathered} t_{\text{science}}=25\%\: of\: 16 \\ t_{\text{science}}=\frac{25}{100}\: \times\: 16=4\: \text{hours} \end{gathered}$

The time spent on doing band practice is given by

$\begin{gathered} t_{\text{band}}=12.5\%\: of\: 16 \\ t_{\text{science}}=\frac{12.5}{100}\: \times\: 16=2\: \text{hours} \end{gathered}$

The difference between the time spent on science homework and band practice is

$difference=t_{\text{science}}-t_{\text{band}}=4-2=2\: \text{hours}$

Therefore, Jacob spent 2 more hours on science homework than band practice.