SOLUTION: 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 da

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 da      Log On


   

Question 1199618: 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?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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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    =   %28-323.40%29%2F%28-3.30%29 = 98.


ANSWER.  98 child tickets.


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

Solved.