Atheater is selling tickets for a performance. mr. smith purchased 8 senior tickets and 5 child tickets for $136 for his friends and family. mr. jackson purchased 4 senior tickets and 6 child tickets for $96. what is the price of a senior ticket?

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.

47 - 90 = 43

43 - 180 = x

x = 137