Question A football team sold raffle tickets to raise money for the upcoming season. They sold three different types of tickets:
premium for $8, deluxe for $3, and regular for $1. The total number of tickets sold was 155, and the total amount of money
from raffle tickets was $409. If 19 more deluxe tickets were sold than premium tickets, how many premium tickets were
sold?

9514 1404 393

  24

Step-by-step explanation:

Let p, d, r represent the numbers of premium, deluxe, and regular tickets sold, respectively.

  p + d + r = 155 . . . . . . . number of tickets sold

  8p +3d +r = 409 . . . . . revenue from tickets sold

  d - p = 19 . . . . . . . . . . . relation between deluxe and premium tickets

Using the third equation, we can substitute d=19+p in the other two equations.

  p + (19+p) +r = 155

  8p +3(19+p) +r = 409

Subtracting the first of these equations from the second, we get ...

  (11p +r +57) -(2p +r +19) = (409) -(155)

  9p = 216 . . . . . . subtract 38 and simplify

  p = 24 . . . . . . . . divide by 9

24 premium tickets were sold.

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6