SOLUTION: 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 adu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 adu      Log On


   

Question 1015063: 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?
Answer by ikleyn(52800) About Me  (Show Source):
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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?
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Solve this system of equations

32*a + 60*s = 1116,
a = 2s.

For it, substitute (2) into (1). You will get

32*a + 30*a = 1116,   or

62*a = 1116,   or

a = 1116%2F62 = 18.

Hence s = 9.

Answer. Adult's meal costs 18. Student's meal costs 9.