Bill sold 75 tickets for a Naked Season gig. he sold x £5 tickets and y £8 tickets. He collected £444. How many of each type of ticket did he sell?

Answer: £5 = 52 tickets, £8 = 23 tickets

Step-by-step explanation:

Quantity Cost

£5 Tickets x 5x

£8 Tickets y 8y

TOTAL 75 444

Cost: 5x + 8y = 444 → 1 (5x + 8y = 444) → 5x + 8y = 444

Quantity: x + y = 75 → - 5 (x + y = 75) → - 5x - 5y = - 375

3y = 69

y = 23

Input y = 23 into one of the original equations to solve for x:

x + y = 75

x + 23 = 75

x = 52