Question 1199618
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At the city museum, child admission is 6.30 and adult admission is $9.60 . 
On Monday, 158 tickets were sold for a total sales of $1193.40. How many child tickets were sold that day?
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Let x be the number of child tickets sold that day.

Then the number of adult tickets sold is (158-x).


Write the total money equation

    6.30*x + 9.60*(158-x) = 1193.40  dollars.


Simplify step by step and find x

    6.30x + 9.60*158 - 9.60x = 1193.40

    6.30x - 9.60x = 1193.40 - 9.60*158

        -3.30x    =   -323.40

             x    =   {{{(-323.40)/(-3.30)}}} = 98.


<U>ANSWER</U>.  98 child tickets.


<U>CHECK</U>.  6.30*98 + 9.60*(158-98) = 1193.40  dollars, the total revenue.  ! correct !
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Solved.