Concept explainers
What is the regular price of admission.
Answer to Problem 28IP
Explanation of Solution
Given:
The passes are good for $2.95 off the regular price of admission , total 5 friends going to the theater and spend $47.75 total on admission.
Concept Used:
Distributive property:
Left Distributive property:
Right Distributive property:
- 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 the regular price of admission, let a be the regular price of admission, first subtracting the good passes off for the regular price that is $2.95 from the regular price, then multiplying it by 5 number of friends going to the theater is equal to $47.75 the total they spend then the equation is as shown below:
Now, to solving the equation first using distributive property on left side of the equation and then isolate the variable term a on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.
Here to isolate a on left side, first add 14.75 both sides and then divide both sides by 5 and then simplify further as shown below,
So, the regular price of admission is $12.50 .
Chapter 8 Solutions
Glencoe Math Accelerated, Student Edition
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