Tickets at a football match sell at k3, k5 and k7.50. The number of k5 tickets sold was three times more than the number of k3 tickets sold and 500 less than the number of k7.50 tickets sold. If the total gate receipts were k42225, how many of each ticket were sold?

Question

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Answer 1

let a = k3 , b = k5 , c = k7.50

b = 3 a

c = b + 500

3 a + 5 b + 7.5 c = 42225

substituting ... 3(b / 3) + 5 b + 7.5(b + 500) = 42225

solve for b , then substitute back to find a and c