As the bookkeeper for the local water park, I noticed that on Saturday there were 4,296 children and 2,143 adults tickets sold for a total of: $98,718.00.
However, on Sunday, there were 5,146 children and 2,807 adults and the totals were $122,570.00
How much are the adults tickets and how much are the children’s tickets?
January 19th, 2014 | Category: 
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Adult ticket – 18
Children Ticket – 14
You’re right, Chini.
Adult’s tickets were $18 and children’s were $14.
This is easily solved using a common method for solving simultaneous equations.
First construct two algebraic equations, where C is the number of children, and A is the number of adults:
4296C + 2143A = 98718 [1]
5146C + 2807A = 122570 [2]
To make the number in front of C the same on both we multiple [1] by 5146 and [2] by 4296 to give:
22107216C + 11027878A = 508002828 [3]
22107216C + 12058872A = 526560720 [4]
Now we can do [4] – [3] to give:
1030994A = 18557892
Divide throughout by 1030994 so that:
A = 18
Substituting A = 18 in [1] will give:
4296C + 2143 x 18 = 98718
4296C + 38574 = 98718
4296C = 60144
C = 14
You are today’s winner.
H