A minor league ballpark attracts 88 fans and draws in $553 in revenue from ticket sales. A child's ticket costs $4 and an adult's ticket is $7. How many of each type of ticket were sold?
A
18 children, 70 adults
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B
67 children, 21 adults
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C
21 children, 67 adults
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D
70 children, 18 adults
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Solution
The correct option is B67 children, 21 adults Let x= Number of children y= Number of adults
Step 1: Total number of fans are 88.
So, x+y=88…(1) Step 2: Total money collected are $553
Money collected from chidren =$4x
Money collected from adults =$7y
So, 4x+7y=553…(2)
Multiply by 4 into euqation (1) 4x+4y=352…(3)
Substracting equation (3) from equation (2) to eliminate x.
We get, 3y=201
3y=2013
⇒y=67
Plugging y=67 into equation (1) x+y=88 x+67=88 x=88−67 ⇒x=21