Tickets to a football match cost $8,$15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20 tickets were sold than $15 tickets. If the gate receipts totalled $783 000, how many of each type of ticket were sold?

Question

Tickets to a football match cost $8,$15 or $20 each. The number of $15 tickets sold was double the number of $8 tickets sold. 6000 more $20  tickets were sold than $15 tickets. If the gate receipts totalled $783 000, how many of each type of ticket were sold?

R_scott · Answer

f = 15 , e = 8 , t = twenty f = 2 e ... e = f/2 t = f + 6000 8 e + 15 f + 20 t = 783000 substituting ... 4 f + 15 f + 20 f + 120000 = 783000 solve for f , then substitute back to find e and t