child admission is $5.50 and adult admission is $9.80 . 131 tickets were sold for a total sales of $957.00 . How many child tickets were sold that day?

Question

At the movie theatre, child admission is
$5.50
and adult admission is
$9.80
. On Monday,
131
tickets were sold for a total sales of
$957.00
. How many child tickets were sold that day?

Answer 1

Let x = the number of children's tickets sold

Let y = the number of adult tickets sold

x + y = 131

5.5x + 9.8y = 957    Solve the first equation for y

y = 131 - x        Multiply the second equation by 10

55x +98y = 9570     Substitute the above equation into this one.

55x + 98(131-x) = 9570   Use the distributive property

55x + 12838 - 98x = 9570   Solve the equation

-43x = -3268

       x = 76 children's tickets sold