Question

On Saturday, 90 people visited a museum. Tickets to the museum cost$12 for each adult and $7 for each child. The museum collected $950 inticket sales that day. How many adults visited the museum?A26B 335764

Answer 1

Data

Total number of people = 90

adoult cost = a = $12

child cost = c = $7

total cost = $950

Equations

a + c = 90 (1)

12a + 7c = 950 (2)

Solve equation 1 for a

a = 90 - c

Substitute this equation in equation 2

12(90 - c) + 7c = 950

Solve for c

1080 - 12c + 7c = 950

-5c = 950 - 1080

-5c = -130

c = 26

Calculate the number of adults

a = 90 - 26

a = 64

64 adults visited the museum