# Thread: Linear System

1. ## Linear System

Hey guys I've been trying to figure out this problem for awhile, but I can't seem to get an answer.

A regular ticket costs 2.25 while a special ticket costs 3.50. Just that night there were 165 tickets sold and a profit of 448.75 made. How many of each tickets were sold?

I chose the regular ticket as my 'x' and special as my 'y' and got this equation:
2.25x+3.5y=448.75.
Then I tried solving for y, but I don't think I'm doing something right as I'm getting decimals. Would I have to use the 165 tickets sold somewhere in the equation?

Thanks for your help.

2. Originally Posted by Jubbly
Hey guys I've been trying to figure out this problem for awhile, but I can't seem to get an answer.

A regular ticket costs 2.25 while a special ticket costs 3.50. Just that night there were 165 tickets sold and a profit of 448.75 made. How many of each tickets were sold?

I chose the regular ticket as my 'x' and special as my 'y' and got this equation:
2.25x+3.5y=448.75.
Then I tried solving for y, but I don't think I'm doing something right as I'm getting decimals. Would I have to use the 165 tickets sold somewhere in the equation?

Thanks for your help.
x + y = 165 , right?

3. Originally Posted by skeeter
x + y = 165 , right?
OH! Thank you so much, I didn't know you had to solve for y for that equation.