SOLUTION: The admission fee at small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5050 is collected. How many children and how many adu
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Question 160273: The admission fee at small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5050 is collected. How many children and how many adults attended? Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The admission fee at small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5050 is collected. How many children and how many adults attended?
.
Let A = number of adults
then because a total of 2200 people entered:
2200-A = number of children
.
Since the total collected was 5050:
5050 = 4A + 1.50(2200-A)
5050 = 4A + 3300 - 1.50A
5050 = 2.5A + 3300
1750 = 2.5A
700 = A (number of adults)
.
number of children:
2200-A = 2200-700 = 1500
