what is the answer?

Question

At the city museum, child admission is
$6.20
and adult admission is
$9.70
. On Wednesday,
164
tickets were sold for a total sales of
$1251.30
. How many adult tickets were sold that day?

Answer 1

There are two unknowns (adult and child tickets) so you have to use two equations to figure this one out.

 

The first equation is total tickets, use a as adult tickets and c and child tickets:

 

a + c = 164;  given the total number of tickets sold is 164.

 

Second is the total amount for tickets sold is the cost of each ticket times the number sold, so

 

6.20 * c  +  9.70 * a = 1251.30; given cost of adult and child tickets and the total sales for the day.

 

solve the first equation for c to get c = 164 - a

 

Substitute in this c value into the second equation to yield:

 

6.20 (164 - a) + 9.70 * a = 1251.30

 

1016.80 - 6.20a + 9.70a = 1251.30

 

3.50a = 234.50

 

a = 67, the number of adult tickets sold.

 

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