Chapter 6.3, Problem 25IP

a.

To determine

Find the number of car in the museum in the next year.

Answer to Problem 25IP

The number of car in the museum is $24$ .

Explanation of Solution

Given: It is given in the question that a car museum wants to increase its collection by $20\%$ over the next year. Currently the museum has $120$ cars in its collection.

Concept Used:

In this, use the concept of percent equation and the equation is $Part=Percent\cdot Whole$ .

Calculation:

In this, the percent and the whole are given, looking for a part. Let t represent part.

  $\begin{array}{l}Part=Percent\cdot Whole\\ t=20\%\cdot 120\\ t=0.2\cdot 120\\ t=24\end{array}$

Conclusion:

The part is $24$ .

b.

To determine

Find the number of cars in the museum collection if it increases $5\%,15\%,25\%\&35\%$ .

Answer to Problem 25IP

The number of cars for $5\%,15\%,25\%\&35\%$ are $6,18,30\&42$ .

Explanation of Solution

Given:

It is given in the question that a car museum wants to increase its collection by $5\%,15\%,25\%\&35\%$ over the next year. Currently the museum has $120$ cars in its collection.

Concept Used:

In this, use the concept of percent equation and the equation is $Part=Percent\cdot Whole$ .

Calculation: In this, the percent and the whole are given, looking for a part. Let t represent part.

For $5\%$ ,

  $\begin{array}{l}Part=Percent\cdot Whole\\ t=35\%\cdot 120\\ t=0.05\cdot 120\\ t=6\end{array}$

For $15\%$ ,

  $\begin{array}{l}Part=Percent\cdot Whole\\ t=15\%\cdot 120\\ t=0.15\cdot 120\\ t=18\end{array}$

For $25\%$ ,

  $\begin{array}{l}Part=Percent\cdot Whole\\ t=25\%\cdot 120\\ t=0.25\cdot 120\\ t=30\end{array}$

For $35\%$ ,

  $\begin{array}{l}Part=Percent\cdot Whole\\ t=35\%\cdot 120\\ t=0.35\cdot 120\\ t=42\end{array}$

Conclusion:

The number of cars for $5\%,15\%,25\%\&35\%$ are $6,18,30\&42$ .