Chapter 8.1, Problem 55STP

To determine

Write and solve an equation to find how much Stanley paid for his glove

Answer to Problem 55STP

The equation is $2x=64.98$

The solution of the given equation is $x=32.49$ .

Explanation of Solution

Given:

Stanley paid half of what Royce paid for his baseball glove and Royce paid $\$64.98$ for his glove

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 equation, let Stanley paid $x$ and given Royce paid $\$64.98$

The equation is $2x=64.98$

Here to isolate x on left side, first divide both sides by $2$ and then simplify further as shown below,

  $\begin{array}{c}2x=64.98\\ \frac{2x}{2}=\frac{64.98}{2}\\ x=32.49\end{array}$

Thus, the solution of the given equation is $x=32.49$ .