There were 375 tickets sold for a basketball game. The activity cardholders cost $1.25 and the non-cardholders tickets cost $2.25. The total amount of money collected was $1315.75. How many of each kind of ticket were sold?

Question

xguardians · Answer

1.25x + 2.25y = 1315.75
x + y = 375

pphalke · Answer

how do i go about solving this?

kimbrown415 · Answer

I think I know how to solve this one but even if you multiply 375 by $2.25 it doesnt work out the dollar amount is too low

pphalke · Answer

how @Kimbrown415

xguardians · Answer

No wonder my work wasn't making sense, if 375 tickets were sold at the premium price of $2.25, that doesn't even equal the total cost of $1315.75

kimbrown415 · Answer

@xGuardians gave the formula  . yes guardian it doesnt add up .  Are you sure the problem is correct on screen?

pphalke · Answer

sorry my mistake its 735 tickets my mistake

beth12345 · Answer

loool... dyslexia, that happens to me a lot too :p

xguardians · Answer

1.25x + 2.25y = 1315.75
Solve for a variable, in this case, y.
y = 735 - x
Substitute into other equation
1.25x + 2.25(735-x) = 1315.75
1.25x + 1653.75 - 2.25x = 1315.75
Solve for x
1.25x - 2.25x = -338
-1x  = -338
x = 338
Therefore y = 735 - 338 = 397

Cardholders = 338
Nonecardholders = 397

beth12345 · Answer

how did you get to the  y=735-x part