Chapter 4.6, Problem 5CYU

To determine

To find: The number of cars washed in spring car

Answer to Problem 5CYU

The number of cars washed in spring car is 41 cars.

Explanation of Solution

Given:

The total number of cars washed = 96.

The Activities club washed 14 fewer cars than during the summer car wash.

Calculation:

Let the number of cars washed during summer car wash is x .

The total number of cars washed was 96.

Here, the activities club washes 14 fewer cars than during the summer car wash.

So, the number of cars washed during the spring car wash is x -14.

Put all together.

Hence, the required equation is as follows:

  $\begin{array}{l}x+x-14=96\\ 2x-14=96\mathrm{.........}\text{(1)}\end{array}$

Solve equation (1)

  $2x-14=96$

Simplify the above equation:

  $\begin{array}{l}2x=96+14\\ x=\frac{110}{2}\\ \text{=55 }\end{array}$

The number of cars washed during the summer car wash was 55.

Hence, the number of cars washed in spring car is as follows:

  $\begin{array}{l}x-14=55-15\\ =41\text{ cars}\end{array}$

Thus, the number of cars washed in spring car is 41 cars.

Conclusion:

Thus, the number of cars washed in spring car is 41 cars.