Chapter 8.1, Problem 10GP

To determine

An equation and how many hours he can rent a canoe

Answer to Problem 10GP

The equation as $22.50x=90$

And he can rent a canoe is $x=4$ .

Explanation of Solution

Given:

A forest preserve rents canoes for $22.50 per hours and Corey has $90 to spend

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 here forest preserve rents canoes for $22.50 per hours Let x be the number of hours Corey can rent a canoe.

The amount of rent is $\$22.50$

Corey has $\$90$

Thus, we can write an equation as $22.50x=90$

Then find the value of x as below:

  $\begin{array}{c}22.50x=90\\ \frac{22.50x}{22.50}=\frac{90}{22.50}\\ x=4\end{array}$

Thus, he can rent a canoe is $x=4$ .