Concept explainers
An equation and find the cost of one CD
Answer to Problem 24IP
The equation is
The one CD cost is
Explanation of Solution
Given:
Gabriella bought some supplies for $48 and then bought 3 CDs. Min did not buy any school supplies but bought 7 CDs. All the CDs cost the same amount and they spent the same amount of money
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 given equation, let’s assume x be the cost of 1 CD, so her total cost is
Min only bought 7 CDs, so her cost is
Since they spent the same amount of money, equate the both expression
Thus, the equation for both is
In order to solve the equation
Thus, the one CD cost is
Chapter 8 Solutions
Glencoe Math Accelerated, Student Edition
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