Question

The cost of admission to the spring carnival was $50 for a group of 9 children and 2 adults. The admission was $61 for another group of 10 children and 3 adults. What was the admission price for each adult?

Answer 1

9C + 2A = $50
10C+ 3A = $61

3(9C + 2A = $50)
-2(10C+ 3A = $61)


27C + 6A = 150
-20C + -6A = -122
-------------------------
7C = 28
7C/7 = 28/7
C = 4

9(4) +2A = $50
36 + 2A =$50
36-36 + 2A= $50-36
2A = 14
2A/2 = 14/2
A = 7

CHECK

9(4) + 2(7) = $50
36 + 14 = $50
$50 = $50

10(4)+ 3(7) = $61
40 + 21 =$61
$61 = $61