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Difficulty: EasyBasic Algebraic Expressions and One-Step Equations

A store owner marks up the wholesale price of a jacket by $18\$18 to determine its retail price. If the retail price of the jacket is $75\$75, and ww represents the wholesale price in dollars, which of the following equations can be used to find ww?

  1. A
    w−18=75w - 18 = 75
  2. B
    18w=7518w = 75
  3. w+18=75w + 18 = 75Answer
  4. D
    w18=75\frac{w}{18} = 75
  5. E
    w+75=18w + 75 = 18

Answer

w+18=75w + 18 = 75
A markup of $18\$18 means the retail price is $18\$18 more than the wholesale price, which is represented by the variable ww. Therefore, the retail price is w+18w + 18. Since the retail price is given as $75\$75, the equation that represents this relationship is w+18=75w + 18 = 75.

Step-by-Step Solution

1
Identify the relationship between wholesale price, markup, and retail price.
The retail price is equal to the wholesale price plus the markup.
A markup increases the cost of the item from its original wholesale value.
2
Substitute the given values and variables into the relationship.
Wholesale price is ww, markup is 1818, and retail price is 7575, giving the equation w+18=75w + 18 = 75.
This translates the verbal description directly into an algebraic equation.

Key Concept

Translating a real-world scenario into a one-step linear equation using addition.
Estimated Time:45s
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Topics

Basic Algebraic Expressions and One-Step Equations

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