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On Saturday, 90 people visited a museum, Tickets to the museum cost $12 for each adult and $7 for each child. The museum collected $95
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
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Mathematics
4 years
2021-08-21T05:27:30+00:00
2021-08-21T05:27:30+00:00 1 Answers
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Answers ( )
Answer:
64 adult tickets were sold
Step-by-step 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