1. Help with work problem/formula

I am stuck on a word problem and can't figure out what formula to use. I know to use x for one price and y for another, but after that I'm hitting a wall.

There were 383 tickets sold to a basketball game. The ticket price for event card holders is $1.75 and$2.25 for non-card holders. The total amount collected was $806.25. How many tickets were sold at each price? 2. Event card holders = x Non-Card holders = y$\displaystyle x + y = 383$(as 383 were sold in total)$\displaystyle 1.75x + 2.25y = 806.25$(as the price for x was$1.75 and y was $2.25, and$806.25 was the total raised)

Can you take it from here? Rearrange to get in terms of x or y, then Substitute or eliminate as you see fit.

3. I actually got that far, but I can't seem to get the same answer as the book. I know the answer is 111 tix at 1.75 and 272 at 2.25 but I don't see how they are getting it. Do I need to multiply by 100 to get rid of the decimals? My answers are way off.

4. From eq1: $\displaystyle y = 383-x$

Sub into eq2: $\displaystyle 1.75x+2.25(383-x) = 806.25$. Once x is known use either equation to find y.

I get the book's answer of 111 and 272

5. Thanks! I knew I'd feel stupid once I seen the answer. I can't believe I didn't catch that.