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?
1 answer:
Answer: £5 = 52 tickets, £8 = 23 tickets
<u>Step-by-step explanation:</u>
Quantity Cost
£5 Tickets x 5x
<u>£8 Tickets </u> <u> y </u> <u> 8y </u>
TOTAL 75 444
Cost: 5x + 8y = 444 → 1(5x + 8y = 444) → 5x + 8y = 444
Quantity: x + y = 75 → -5( x + y = 75) → <u> -5x - 5y</u> = <u>-375</u>
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
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