SOLUTION: At the museum, child admission is $5.30 and adult admission is $9.50. On Friday, 142 tickets were sold for a total of $1084.40. How many child tickets were sold that day?

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Question 1195565: At the museum, child admission is $5.30 and adult admission is $9.50. On Friday, 142 tickets were sold for a total of $1084.40. How many child tickets were sold that day?
Answer by ikleyn(52781) About Me  (Show Source):
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At the museum, child admission is $5.30 and adult admission is $9.50.
On Friday, 142 tickets were sold for a total of $1084.40.
How many child tickets were sold that day?
~~~~~~~~~~~~~~~~ 

Let x be the number of child tickets;  
then the number of adult tickets is 142-x.


Now write the total money equation

    5.30x + 9.50*(142-x) = 1084.40  dollars.


Simplify and find x

    5.30x + 9.5*142 - 9.50x = 1084.40

    5.30x - 9.50x = 1084.40 - 9.5*142

        -4.20x    =       -264.60

             x    =       %28-264.60%29%2F%28-4.20%29 = 63.


ANSWER.  63 child tickets.

Solved.