Ticket sales for a play total $900 . There are three times as many adult tickets sold as children s tickets. The prices of the tickets for adults and children are $6 and $2 , respectively. Find the number of children s tickets sold.
A) 45 children s tickets
B) 35 children s tickets
C) 48 children s tickets
D) 52 children s tickets
E) 40 children s tickets

Question

Quizplus · Accepted Answer

Let x be the number of children's tickets sold. Then the number of adult tickets sold is 3x. The total amount of money from children's tickets is 2x, and the total amount of money from adult tickets is 6(3x) = 18x. The total amount of money from all tickets is 2x + 18x = 20x. Since the total amount of money is $900, we have 20x = 900, so x = 45. Therefore, the number of children's tickets sold is 45.

Ticket Sales for a Play Total $900