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Answer :
The price of one senior citizen ticket is $8 while the price of one student ticket is $14.
How to solve simultaneous equations:
Forming the sales units and total revenue for each day as simultaneous equations will give:
Day one sales = 4c + 5s = $102 ... equation 1
Day two sales = 7c + 5s = $126 ... equation 2
Data and Calculations:
Senior Citizen (c) Students (s) Total Sales
Day one 4 5 $102
Day two 7 5 $126
Equation 1: 4c + 5s = $102
Equation 2: 7c + 5s = $126
Elimination:
Deducting equation one from equation two will give:
7c + 5s = $126
- 4c + 5s = $102
= 3c = $24
c = $8 ($24/3)
Substitution of c in equation one:
4c + 5s = $102
= 4 x $8 + 5s = $102
= $32 + 5s = $102
5s = $102 - $32
5s = $70
s = $14
Check accuracy in equation two:
7c + 5s = $126
= 7 x $8 + 5 x $14 = $126
= $56 + $70 = $126
Thus, the price of one senior citizen ticket is $8 while the price of one student ticket is $14.
Learn more about simultaneous equations at https://brainly.com/question/185757
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