Chapter 4.6, Problem 17PPS

To determine

To find: The number of action moves that D has in his collection

Answer to Problem 17PPS

The number of action moves that D has in his collection is 8.

Explanation of Solution

Given:

The total number of animated movies is 24,

8 more than twice as many animated movies

Calculation:

Let nbe the number of action movies.

Twice the number of action movies is 2n ,

Let m be the number of animated movies.

The number of animated movies is 8 more than twice as many animated movies as actionmovies, thatis. m =2n+ 8.

Here, the total number of animated movies is m = 24,

Putting all together, the required equation is,

  $2n+8=\mathrm{24.....}(1)$

Find the number of action movies.

Solve the equation (1) for n.

  $\begin{array}{l}2n+8=24\\ 2n+8-8=24-8\text{ Subtraction property of equality}\\ \text{2n=16 Simplify}\\ \frac{2n}{2}=\frac{16}{2}\text{ Division property of equality}\\ n=8\text{ Simplify}\end{array}$

Hence, the number of action movies that D has in his collection is 8.

Conclusion:

Hence, the number of action movies that D has in his collection is 8.