
Concept explainers
To find: the value of number described

Answer to Problem 6P
The value of the number described is
Explanation of Solution
Given information: “Four times a number, increased by 25, is the same as 13 less than six times the number”
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” means =
“increased by” means +
“less than” means −
“times” means ×
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 .
4 times x , increased by 25, is 13 less than 6 times x .
Replace the keywords to get an equation representing the sentence given
In the process of getting x in one side of the equation subtract 6x on both sides
Combine like terms on both sides
Subtract on both sides of the equation
Combine like terms on both sides of the equation
Divide -2 on both sides of the equation
Simplify fraction on both sides of the equation
Conclusion:
A number that satisfying the description “Four times a number, increased by 25, is the same as 13 less than six times the number” is
Chapter 3 Solutions
Algebra: Structure And Method, Book 1
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