Question

- One night a theater sold 548 movie tickets. An adult's ticket costs $6.50 and a child's ticket cost $3.50.

In all, $2881 was taken in. How many of each kind of ticket were sold?

Answer 1

Explanation:

Let X= each ticket for adults and Y= each ticket for kids

x+y=548

6.50x+3.50y=2881

subtract x from each side leaving you with y= -x+548

Plug in for Y

6.50x+3.50(-x+548)=2881

6.50x - 3.50x + 1918= 2881

3x+1918=2881 ....subtract

3x=963 .....divide by 3

X= 321 tickets for adults

321+y=548 ...subtract 321

Y=227 childrens tickets