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evablogger [386]
3 years ago
8

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?
Mathematics
1 answer:
Ber [7]3 years ago
4 0

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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