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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RI SƠ 4 years 2021-08-21T05:27:30+00:00 1 Answers 41 views 0

Answers ( )

    0
    2021-08-21T05:28:37+00:00

    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

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