Chapter 7.4, Problem 43PPS

(a)

To determine

To find: the number of miles J drove

Answer to Problem 43PPS

He drives about 155 miles.

Explanation of Solution

Given:

J's family drove 310 miles

Calculation:

The expression will be $52\%$ of 310 which is about $50\%$ of 310

  $\begin{array}{l}50\%=\frac{1}{2}\\ 50\%\text{ of 310 =}\frac{1}{2}\times 310\\ =155\end{array}$

He drives about 155 miles.

Conclusion:

Hence, J drives about 155 miles.

(b)

To determine

To find:the number of miles J’s mom drove

Answer to Problem 43PPS

J’s mom drove about 96 miles.

Explanation of Solution

Given:

J’s mom drove $58\%$ of the distance her dad drove

Calculation:

Let 58% is about 60%

  $\begin{array}{l}60\%=\frac{3}{5}\\ 60\%\text{ of 155=}\frac{3}{5}\times 155\\ =96\end{array}$

Conclusion:

Hence, J’s mom drove about 96 miles.

(c)

To determine

To find:the number of miles J’s brother drove

Answer to Problem 43PPS

Her brother drove 60 miles.

Explanation of Solution

Given:

J’s brother drove the remaining miles

Calculation:

J drives about 155 miles.

J’s mom drove about 96 miles.

Add both of the distance

  $155+96=251$

Let 251 be 250

Thus, J’s family drove totally 310 miles.

So, subtract 250 from 310

  $310-250=60$

Her brother drove 60 miles.

Conclusion:

Hence, her brother drove 60 miles.