Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold.If 30% more...

      

Tickets for a football match cost 100 shillings and 50 shillings and tickets to the value of Kenya pounds 100,000 were sold. If 30% more sh. 50 tickets and 40% fewer sh.100 tickets had been sold, the income would have increased to Kenya pounds 112,500.How many tickets of each category were sold?

  

Answers


Seline
Let the number of sh.100 tickets be x
Let the number of sh.50 tickets be y

Total amount collected=100x+50y=100,000

If 30% more of y were sold,the amount=(130/100 x 50y)

If 40% less of x were sold,the amount=(60/100 x 100x)

(65y+60x=112500)x10
(50y+100x=100,000)x13
650y+600x=1125000
650y+1300x=1300000
700x=175000x20(change to pounds)
x=5000
50y+100x5000=1000000x20=2000000
50y=1500000
y=30000
Number of tickets costing sh.50=30000
Number of tickets costing sh.100=5000

Belan answered the question on February 28, 2019 at 14:35


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