Thread: word problem

A school sales 200 tickets for $475.00. Adult tickets are $3.00 and student tickets are $2.00. How many $2.00 and $3.00 tickets were sold. I have answer by guessing only. I need help putting together a formula.

You need to set up 2 equations for your 2 unknowns.
First equation:
x+y=200 (x is the $3 ticket and y is the $2 ticket)

Second equation:
3x + 2y= 475 (the sum of all tickets sold is 475)

In the first equation solve for x:
x=200-y

Now plug in x in the second equation:
3(200-y) +2y = 475
600-3y+2y = 475
600 -y = 475
-y = -125
y=125

Now plug y into the first equation:
x=200-125
x=75

So there were 75 $3 tickets sold and 125 $2 tickets sold