At the city museum, child admission is $5.60 and adult admission is $9.30. On Sunday, 141 tickets were sold for a total sales of
974.60. How many child tickets were sold that day?
2 answers:
x = child tickets
y = adult tickets
x + y = 141
5.60x + 9.30y = 974.60
y = 141 - x
5.60x + 9.30 ( 141 - x ) = 974.60
5.60x + 1311.3 - 9.30x = 974.60
-3.70x + 1311.3 = 974.60
-3.70x = 974.60 - 1311.3
-3.70x = -336.7
x = 91
91 child tickets were sold that day
Let child ticket be x.
Let adult ticket be y.
x+y=141 (1)
5.6x+9.3y=974.6 (2)
From (1),
5.6x+5.6y=789.6 (3)
(2)-(3)
3.7y=185
y=50
Sub y=50 into (1)
x+y=141
x=91
Therefore x=91 and y=50.
Hence 91 child tickets was sold that day.
Hope it helps : )
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