Please help me answer this with an explanation
2 answers:
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Answer:
The price of a senior ticket is $12.
Step-by-step explanation:
Given:
Mr. Smith purchased 8 senior tickets and 5 child tickets for $136. Mr. Jackson purchased 4 senior tickets and 6 child tickets for $96.
Now, to get what is the price of a senior ticket.
Let the senior ticket be and the child ticket be
:
So, according to question
.........(1)
...........(2)
Now, we have system of equations:
Multiplying the equation (2) by -2 we get:
.......(3)
Now, adding the equation (3) and (1) the variables and the numbers:
Dividing both sides by -7 we get:
Putting the value of y in equation (2) we get:
On solving the equation we get:
.
Therefore, the price of a senior ticket is $12.