Question

The baseball team sold $1,340 in tickets one Saturday. The number of $12 adult tickets was 15 more than twice the number of $5 child tickets. How many of each were sold?

Answer 1

Let x and y be the number of adult and child tickets respectively.

$12x + 5y = 1340$
$x = 2y + 15$

$12(2y + 15) + 5y = 1340 \\ 24y + 180 + 5y = 1340 \\ 29y + 180 = 1340 \\ 29y = 1160 \\ y = 40$
$x = 2y +15 \\ x = 2(40) + 15 \\ x = 95$