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diamong [38]
2 years ago
8

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

uch 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.
Mathematics
2 answers:
Umnica [9.8K]2 years ago
5 0
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
kvv77 [185]2 years ago
4 0

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.

_____

<em>Additional comment</em>

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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