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Answer :
Answer:
The cost of one senior citizen ticket is $5
The cost of one student ticket $7
Step-by-step explanation:
Let the cost of one senior citizen ticket be x and the cost of one student ticket be y
First day :
Number of senior citizen ticket sold = 7
Number of student ticket sold = 14
Told amount earned = $133
So the equation will be,
7x + 14y = 133 ------------(1)
Second day :
Number of senior citizen ticket sold = 8
Number of student ticket sold = 7
Told amount eared = $89
8x + 7y = 89-----------------------(2)
Multiplying equation (2) by 2
16x + 14y = 178----------------------(3)
Solving (1) and (3)
16x + 14y = 178
7x + 14y = 133
-------------------------
9x = 45
--------------------------
[tex]x = \frac{45}{9}[/tex]
x= 5
Now substituting the x value in eq(1)
7(5) +14y = 133
35 +14y = 133
14y = 133 -35
14y = 98
[tex]y = \frac{98}{14}[/tex]
y = 7
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