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The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2,200 people enter the fair and $5,050 is collected. How many children and how many adults attended?

 Nov 6, 2018
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C=Children,   A=Adults
solve C + A = 2200 ................................(1)

1.5 C + 4 A = 5050 for C, A................... (2)
A =2200 - C         sub this into the 2nd equation:
1.5C + 4(2200 - C) =5050
1.5C + 8800 - 4C =5050
2.5C = 3750
C =3750 / 2.5
C =1,500 - Children.
1,500 + A =2200
A =2200 - 1500
A = 700 - Adults.

 Nov 6, 2018
edited by Guest  Nov 6, 2018

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