A culinary club earns $1190 from a dinner service. They sold 34 adult meals and 51 student meals. An adult meal costs twice as much as a student meal.

Question

What would be the cost of the adult meal is what I need.

Answer 1

Let S = student meal cost

Let A = adult meal cost

 

We know that the adult cost is twice the student cost

 

Formula 1:

A= 2S

 

We also know that there were 34 adult tickets and 51 student tickets

 

Formula 2:

34A + 51S = $1,190

 

Substitute the value of A from formula 1 into formula 2

 

34(2S) + 51S = $1,190

 

68S + 51S = $1,190

 

119S = $1,190

 

Divide by 119

 

S = $10

 

And

 

A = 2S

A = 2($10)

A = $20