Problema Solution
The first day of ticket sales, the school sold 3 senior citizen tickets and 9 child tickets for $75. The second day the school sold 8 senior citizen and 5 child tickets for $67. What is the price each of one senior ticket and one child ticket?
Answer provided by our tutors
3s + 9c = 75
8s + 5c = 67
Using substitution, we can determine that
24s + 72c = 600
-24s - 15c = -201
= 57c = 399
c = 7
8s + 5(7) = 67
8s + 35 = 67
8s = 32
s = 4
A senior ticket costs $4 and a child ticket costs $7.