John sells tickets to a school concert. adult tickets cost $6.50 and children's tickets cost $4.50. john collects a total of 157.50 from the ticket sales and he sells twice as many adult tickets as children's tickets. how many tickets does he sell all together?

The total number of tickets that John sold is 27

Step-by-step explanation:

Let x represent the number of adult tickets that John sold at the concert.

Let y represent the number of children's tickets that John sold at the concert.

Adult tickets cost $6.50 and children's tickets cost $4.50. John collects a total of 157.50 from the ticket sales it means that

6.5x + 4.5y = 157.5 - - - - - - - - - -1

John sells twice as many adult tickets as children's tickets. This means that

x = 2y

Substituting x = 2y into equation 1, it becomes

6.5 × 2y + 4.5y = 157.5

13y + 4.5x = 157.5

17.5y = 157.5

y = 157.5/17.5 = 9

x = 2×9 = 18

The total number of tickets that John sold is 9 + 18 = 27

5

step-by-step explanation: