Concept explainers
To find: the value of number described
Answer to Problem 5P
The value of the number described is
Explanation of Solution
Given information: “Three times a number, decreased by 8, is the same as twice the number increased by 15”
Concept Involved:
Assign variable for the unknown that we need to find.
Use the keywords in the statement to rewrite the statement to meaningful math equation.
“is the same as” means =
“increased by” means +
“decreased by” means −
“twice” means 2×
Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation.
Calculation: Let ‘ x’ be the number that we are trying to find. Rewrite the sentence by replacing the number with x .
3 times x , decreased by 8, is the same as 2x increased by 15.
Replace the keywords to get an equation representing the sentence given
In the process of getting x in one side of the equation subtract 2x on both sides
Combine like terms on both sides
Add 8 on both sides of the equation
Combine like terms on both sides of the equation
Conclusion:
A number that satisfying the description “Three times a number, decreased by 8, is the same as twice the number increased by 15” is
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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