in description

Question

At the city museum, child admission is
$6.20
and adult admission is
$9.90
. On Thursday, twice as many adult tickets as child tickets were sold, for a total sales of
$728.00
. How many child tickets were sold that day?

Answer 1

Set up an equation to represent this scenario.  Because child admission is $6.20 and adult admission is $9.90, the museum's total admission sales can be expressed as:

 

6.20x + 9.90y

 

where x is the number of children attendees and y is the number of adult attendees.

 

If you set this expression equal to the total and substitute 2x for the adult tickets sold (because twice as many adult tickets were sold than child tickets), then you can solve:

 

6.20x + 9.90(2x) = 728

6.20x + 19.8x = 728

26x = 728

x = 28

 

28 child tickets were sold on Thursday.