If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?

$5.50
$6.50
$7.50

got a

Question

If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket?


$5.50
$6.50
$7.50

got a

texaschic101 · Answer

2a + 3c = 31.50 -->(-5)
a + 5c = 35.00 -->(3)
--------------
-10a - 15c = - 157.50 (result of multiplying by -5)
3a + 15c = 105 (result of multiplying by 3)
--------------add
-7a = - 52.50
a = -52.50/-7
a = 7.50

Answer is C.