At the city museum, child admission is $5.90 and adult admission is $9.50. On Sunday, 149 tickets were sold for a total of $1095.10. How many child tickets were sold that day?

Respuesta :

Answer:

Child tickets = 60

Step-by-step explanation:

Create simultaneous equations:

c = child tickets, a = adult tickets

c + a = 149

5.9c + 9.5a = 1095.10

From first equation, c = 149 - a

Substitute in equation 2:

5.9(149 - a) + 9.5a = 1095.1

879.1 - 5.9a + 9.5a = 1095.1

3.6a = 216

a = 60

Sub a =60, into c = 149 - a

c = 149 - 60

c = 89