Each adult movie ticket costs $8. Each child ticket costs $5. Sean buys 10 movie tickets altogether. He pays $74 in all. Find the number of adult ticket and the number of child movie tickets Sean buys.

2 answers

a+c = 10
8a+5c = 74
solve for c
He boys 8 adult tickets and 2 child tickets.

If all were adult tickets, 10 × $8 = $80 he would have spent $80.
$80 – $74 = $6
There is a difference of $6.

The difference between the cost of 1 adult and 1 child ticket is $3. $6 ÷ $3 = 2
He bought 2 child tickets and 8 adult tickets.