Question

All tickets for a concert are the same price. the ticket agency adds a fixed fee to every order. a person who orders 5 tickets pays $93. a person who orders 3 tickets pays $57. write an equation relating the total cost to the number of tickets purchased

Answer 1

X will be ticket cost Y is ticket agency fee 5X+y = $93 3x+y = $57 To solve, multiply the second by negative 1. -3x-y = -$57 Then subtract the second from the first. 5X+y = $93 -3x-y = -$57 To give you 2x=$36 Divide both sides by 2 to get x=$18 If x=$18, then plug it in to get your solution for y! 5($18) +y =$93 $90+y=$93 Y=$3 3($18)+y = $57 $53 +y =$57 Y=$3