Question

A culinary club earns $1116 from a dinner service. They sold 32 adult meals and 60 student meals. An adult meal costs twice as much as a student meal.

What is the cost of an adult meal? Please explain and show all steps! The answer is 18, but I don’t get how.

Answers

  1. Well first, 32 x 18 = 576
    Second 18 divided by 2 = 9
    Third 9 x 60 = 540
    Fourth 540 + 576 = 1116
    Fifth Cost of adult meal 18
    Sixth Cost of Student meal 9

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  2. Answer:
      $18
    Step-by-step explanation:
    Let x represent the cost of an adult meal (the value we want to know). The cost of a student meal is half that, or x/2. The total cost of all the meals is …
      60(x/2) +32x = 1116
      62x = 1116 . . . . . collect terms
      x = 1116/62 = 18 . . . . divide by 62
    The cost of an adult meal is $18.
    _____
    Additional comment
    You can instead use a variable for the cost of a student meal, or you can use variables for both:
      a = 2s
      32a +60s = 1116
    It makes sense here to solve this by eliminating the s variable in any of several ways, since you ultimately want to know the value of ‘a’.

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