MATH SOLVE

3 months ago

Q:
# 3. A full-price ticket for a college basketball game costs $2.50, and a student ticket costs $1.75. Iftickets were sold, and the total receipts were $1,217.25, how many tickets were student tickets?

Accepted Solution

A:

Let's say x = full price ticketsLet's say y = student ticketsWe can write two equations:From "585 tickets were sold" we can make the equation:x + y = 585And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:2.50x + 1.75y = 1,217.25So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.x + y = 585x + y - y = 585 - yx = 585 - yNow we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25Distribute your 2.501462.5 - 2.50y + 1.75y = 1217.25Add the y's: 1462.5 - 0.75y = 1217.25Subtract 1462.5 from both sides:1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5-0.75y = -245.25Divide both sides by -0.75:y = -245.25/-0.75y = 327 There were 327 student tickets :)