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Difficulty: EasyTranslating and Solving Algebraic Word Problems

At a local sports club, the initiation fee is 1515 dollars less than three times the monthly membership fee, mm. If the initiation fee is 7575 dollars, what is the monthly membership fee, in dollars?

  1. A
    20
  2. B
    25
  3. 30Answer
  4. D
    40
  5. E
    90

Answer

30
The statement '15 less than three times the monthly membership fee, mm' translates to the algebraic expression 3m−153m - 15. Since the initiation fee is 7575 dollars, we can set up the equation 3m−15=753m - 15 = 75. Adding 1515 to both sides yields 3m=903m = 90. Dividing both sides by 33 gives m=30m = 30. Therefore, the monthly membership fee is 3030 dollars.

Step-by-Step Solution

1
Translate the verbal description into an algebraic equation.
The expression '15 less than three times the monthly membership fee, mm' is written as 3m−153m - 15. Setting this equal to the initiation fee of 7575 gives the equation 3m−15=753m - 15 = 75.
To solve a word problem, you must first convert the written relationship into a mathematical statement.
2
Isolate the variable term by adding 1515 to both sides of the equation.
3m=903m = 90
Performing the inverse operation of subtraction (addition) simplifies the equation to isolate the term with the variable.
3
Solve for mm by dividing both sides of the equation by 33.
m=30m = 30
Performing the inverse operation of multiplication (division) isolates the variable mm completely.

Key Concept

Translating and Solving Algebraic Word Problems
Estimated Time:45s
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Topics

Translating and Solving Algebraic Word Problems

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