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Question

Difficulty: EasyTranslating and Solving Algebraic Word Problems

A food truck charges a flat fee of 6foracustomlunchboxcontainer,plus6 for a custom lunch box container, plus 8 for each scoop of specialty salad added to the box. If a customer paid a total of $38 for one custom lunch box filled with specialty salad, how many scoops of specialty salad did they receive?

  1. A
    14
  2. B
    32
  3. 4Answer
  4. D
    5
  5. E
    8

Answer

4 scoops of specialty salad
The correct answer is 4. The total cost is represented by the equation 6+8s=386 + 8s = 38, where ss represents the number of scoops. Subtracting the flat container fee of 6fromthetotalof6 from the total of 38 leaves 32.Dividing32. Dividing 32 by the per-scoop cost of $8 yields 4 scoops.

Step-by-Step Solution

1
Set up the linear equation representing the total cost.
6+8s=386 + 8s = 38, where ss is the number of scoops of specialty salad.
The total cost consists of a one-time flat fee of 6plus6 plus 8 per scoop of salad.
2
Subtract the flat fee from both sides of the equation.
8s=328s = 32
To isolate the variable term, we subtract the constant cost of the container from the total cost.
3
Divide both sides of the equation by the cost per scoop.
s=4s = 4
Dividing the remaining cost by the price per scoop yields the number of scoops purchased.

Key Concept

Translating a verbal description of a linear cost scenario into a one-variable linear equation and solving it.
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Topics

Translating and Solving Algebraic Word Problems

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