335,399 views
42 votes
42 votes
to go to a movie, a family with 2 adults and 4 children spends 64.00. a family containing 1 adult and 3 children spends 42.00. find the cost of an adult movie ticket and the cost of a child movie ticket

User Khernik
by
3.4k points

1 Answer

9 votes
9 votes

Answer: The cost of a ticket for an adult is $12 while for children it is $10.

Explanation:

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

User Sean Rucker
by
3.1k points