Question

Need some help! Please be specific.

Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?

Answer 1

Answer: 210 advanced tickets were sold. 130 same day tickets were sold.

Explanation:

x= advanced tickets y=same day tickets

2x+3y=810 this equation represents the money

x+y=340 this equation represents the total number of tickets

x+y=340

-x -x

y=-340-x 2x+3(340-x)=810 210+y=340

2x+1020-3x=810 -210 -210

-x+1020=810 y=130

-1020 -1020

-x=-210

-1 -1

x=210