Question

A restaurant has one price for adults and another price for children to eat at its buffet. Two families ate at the buffet. The Traymore family has two adults and three children and their bill was $49.50. The Willis family has three adults and one child and their bill was $44.50. What is the cost for an adult to eat at the buffet and what is the cost of a child to eat at the buffet?

Answer 1

It costs an adult $12 and a child $8.50 to eat at the buffet.

2a+3c=49.40
3a+1c=44.50

c=44.50-3a

2a+3(44.50-3a)=49.50
-7a+133.5=49.50
a=12

2(12)+3c=49.50
3c=25.50
c=8.50