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?

Respuesta :

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