Chapter 8.3, Problem 17IP

To determine

An equation and how many action movies are in his collection

Answer to Problem 17IP

The equation is $2x+8=24$

The numbers of movies are $x=8$

Explanation of Solution

Given:

Domingo has eight more than twice as many animated movies as action movies. If he has 24 animated movies

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

In order to find an equation

Let x be the number action movies

Since Domingo has eight more than twice as action movies as shown below,

  $2x+8=24$

Thus, the equation is $2x+8=24$

In order to find the number of movies x first subtract both sides by $8$ and then divide both sides by $2$ and then simplify as below:

  $\begin{array}{l}2x+8=24\\ 2x+8-8=24-8\\ 2x=16\\ \frac{2x}{2}=\frac{16}{2}\\ x=8\end{array}$

Thus, the numbers of movies are $x=8$