Chapter 6.2, Problem 50IP

a.

To determine

Find the distance travelled in miles that her dad drives.

Answer to Problem 50IP

The distance travelled by her dad is $155$ miles.

Explanation of Solution

Given:

It is given in the question that he drives $52\%$ of the way from $310$ miles.

Concept Used:

In this, use the concept of doing estimation by rounding off the number to simpler numerals.

Calculation: Here, It has to round off the number, $52\%$ is nearly comes to $50\%$ .

So,

  $\begin{array}{l}50\%of310\\ 50\%=\frac{50}{100}\\ =\frac{50}{100}\times 310\\ =155\end{array}$

Conclusion:

The distance covered is $155$ miles.

b.

To determine

Find the distance travelled in miles that her mom drives.

Answer to Problem 50IP

The distance covered by her mother is $90$ miles.

Explanation of Solution

Given: It is given in the question that her mother drives $58\%$ of the way from $155$ miles.

Concept Used:

In this, use the concept of doing estimation by rounding off the number to simpler numerals.

Calculation: Here, the net distance will be = $310-155=155$ miles her mother have to covered.

Now, It has to round off the number, $58\%$ is nearly comes to $60\%$ and $155$ is nearly comes to $150$ .

So,

  $\begin{array}{l}60\%of150\\ 60\%=\frac{60}{100}\\ =\frac{60}{100}\times 150\\ =90\end{array}$

Conclusion:

The distance covered is $90$ miles.

c.

To determine

Find the distance travelled in miles that her older brother drives.

Answer to Problem 50IP

The distance covered by her older brother is $65$ miles.

Explanation of Solution

Given:

It is given in the question that the total distance is $310$ miles and her father covered $155$ miles and her mother covered $90$ miles.

Concept Used:

In this, use the concept of adding all covered value and subtract from the total distance value.

Calculation: Here,

The total distance = $310$ miles

Total distance covered by her father and mother = $155+90=245$ miles

So, net distance covered by her older brother = $310-245=65$ .

Conclusion:

The distance covered is $65$ miles.