Chapter 8.1, Problem 54STP

To determine

How much did each magazine cost

Answer to Problem 54STP

The cost of each magazine is $\$3.95$

Option C is correct

Explanation of Solution

Given:

Ella paid $11.85 for 3 magazines and each magazine was the same price

Concept Used:

• To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
• To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
• To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
• To get rid of a number in division from one side, multiply the same number both sides of equal sign.

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.

Calculation:

In order to find the magazine cost, let us assume that the one magazine cost is $x$

Then 3 magazine cost is $3x$ and then simplify further as shown below,

  $\begin{array}{c}3x=11.85\\ \frac{3x}{3}=\frac{11.85}{3}\\ x=3.95\end{array}$

Thus, the cost of each magazine is $\$3.95$

Option C is correct