#1**+2 **

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

CPhill Jul 16, 2022