Question

If three adults and two children go to the movies, it costs $33.50. If one adult and four children go to the movies, it costs $30.50. What is the cost of one adult movie ticket?

$5.80
$6.40
$7.30

Answer 1

$7.30

Explanation:

The problem statement gives rise to two equations:

• 3a +2c = 33.50
• 1a +4c = 30.50

If we double the first equation and subtract the second, we have ...

2(3a +2c) -(1a +4c) = 2(33.50) -(30.50)

5a = 36.50 . . . . simplify

a = 7.30 . . . . . . .divide by 5

The cost of one adult ticket is $7.30.