Tanzila is selling tickets to the MS127 musical. On the first day of ticket sales she sold 2 adults tickets and 10 child tickets for a total of $78. Then she sold $67 on the second day by selling 8 adults tickets and 5 child tickets. What is the price of one adult ticket and one child ticket?

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by - 2

2x + 10y = 78

-16x - 10y = - 134

Add the equations

-14x = - 56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2 (4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7