SOLUTION: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $15 and same-day tickets cost $35 . For one performance, there were 50

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Question 975648: Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost
$15
and same-day tickets cost
$35
. For one performance, there were
50
tickets sold in all, and the total amount paid for them was
$1150
. How many tickets of each type were sold?

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.X%2BY=50
2.15X%2B35Y=1150
From eq. 1,
15X%2B15Y=750
Subtract from eq. 2,
15X%2B35Y-15X-15Y=1150-750
20Y=400
Y=20
Then,
X%2B20=50
X=30
30 $15 tickets and 20 $35 tickets