+128408 The table shows the prices of the tickets for a charity performance
Type of ticket Price per ticket
Adult $20
Child $8
1/4 of the tickets sold were adults tickets. The total amount of money collected from the sale of child tickets was $216 more than the total amount collected from the sale of adult tickets. How much money was collected from the sale of the tickets altogether?
Let x be the total sold.....so (1/4)x = the adult's sold and (3/4)x = the children's sold
So
Number of adult's sold * price per ticket + 216 = Number of chidren's sold * price per ticket
(1/4)x * 20 + 216 = (3/4)x * 8 simplify
5x + 216 = 6x
216 = 6x - 5x
216 = x
Total money collected = (1/4) (216)*20 + (3/4)(216)* 8 =
5(216) + 6(216) =
11 (216) =
$2376
