Question

At the zoo, the Spencer family bought 3 adult tickets and 2 children's tickets for $23.50.

The Yang family bought 2 adult tickets and 4 children's tickets for $25.
Solve the system of equations to find x, the price of an adult ticket and y, the price of a children's ticket.

Answer 1

2000 or 20

Explanation:

a = cost of adult tickets

c = cost of children's tickets

3a + 2c = 2350

2a + 4c = 2500.

6a+4c = 4700

2a+4c = 2500

4a = 2200

a = 550 or $5.50

3(550) + 2c = 2350

1650 + 2c = 2350

2c = 700

c = 350 or $3.50

The Diaz family's spendings is 3a + c = 3(550) + 350 = 1650+350 = 2000 or $20

Answer 2

Explanation:

3x+2*2x=28

3x+4x=28

7x=28

/7

x= 28/7

x= $4 child ticket

adult ticket = 2x = 2*4 = 8