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Define a variable and write an inequality to represent the number of T − shirt, then solve the inequality.
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Answer to Problem 76S
Variable is x.
Equation:
Number of $12 T − shirt sold more than 458.
Explanation of Solution
Given:
The Jefferson High school Band Boosters raised more than $5500 from sales of $12 T − shirt.
Concept Used:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.
There are four different types of inequalities:
Greater than −
For Inequality equation: If
Rules for solving inequality equations:
These things do not affect the direction of the inequality:
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
But these things do change the direction of the inequality ("
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
Calculation:
The Jefferson High school Band Boosters raised more than $5500 from sales of $12 T − shirt.
Let the number of $12 T − shirt is x.
Condition: Total sale is more than $5500.
Cost of 1 T − shirt is $12. Cost of x is $12x Equation:
Solve for x:
Number of $12 T − shirt sold more than 458.
Thus,number of $12 T − shirt sold more than 458.
Chapter 5 Solutions
Algebra 1
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