Problema Solution

Individual tickets to a raffle cost 35 cents. A pair of consecutively numbered tickets may be bought for 50 cents. If 100 tickets were sold and $32.20 was collected, how many people purchased pairs of consecutively numbered tickets?

Answer provided by our tutors

let


x = the number of individual tickets

y = the number of pairs of consecutively numbered tickets


x + 2y = 100


0.35x + 0.50y = 32.20


by solving the above system of equations we find


x = 72 individual tickets


y = 14 pairs of consecutive tickets


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there were 14 pairs of consecutive tickets purchased or 14*2=28 consecutively numbered tickets.