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 in
ticket sales that day. How many adults visited the museum?
A. 26
B. 33
C. 57
D. 64

Answer 1

64 adult tickets were sold

Explanation:

Let a = adult tickets sold

c = child tickets sold

a+c = 90 since there were 90 tickets sold

12a+7c = 950 since the amount of money collect is 950

c = 90-a

Substitute this into the second equation

12a +7( 90-a) = 950

Distribute

12a + 630-7a = 950

Combine like terms

5a +630 = 950

Subtract 630 from each side

5a = 950-630

5a = 320

Divide by 5

5a/5 = 320/5

a =64

64 adult tickets were sold