A movie theater charges $ 8 for adults and $ 6 for seniors. On a particular day when 336 people paid an admission, the total receipts were $ 2598.

Question

How many who paid were adults?
How many who paid were seniors?

I got this two equation (8x+6y=2598 and second equation is X+y=336) but I been trying to solve them and I can't I thing they might be written wrong.
Can some one please help me.

Answer 1

Your equations are correct.
To solve (By subtraction):
8x + 6y = 2598
-(x + y) * 6 = (336) * 6
________________________

2x + 0y = 582

Solve for x

(2x)/2 = (582)/2

x = 291

Solve for y:

x + y = 336

(291) + y = 336

(291) + y - (291) = 336 - (291)

y = 45

Solution (291,60)

Check Work:

8*(291) + 6*(45) = 2598

(291) + (45) = 336