there are a total of 6 people including Gem, so this means that if they buy the tickets they will receive 1 free ticket. so that leaves a total of 5 tickets that they need to pay for.
first we need to figure out how much they need to pay all together for the tickets and because they need to pay for 5 tickets each of which cost £600
5x600= 3000
now that we know that the tickets cost a grand total of £3000 we need to see how much each person will need to pay. There are a total of 6 people so we just divide £3000 by 6
x + 3 = 3(y + 2)/2 [Multiplied both sides by 3] so x + 3 = (3y + 6)/2 2(x + 3) = 3y + 6 [Multiplied both sides by 2] 2x + 6 = 3y + 6 2x = 3y [Subtracted 6 from both sides] x = 3y/2 [Divided both sides by 2] x/3 = y/2 [Divided both sides by 3]
