Respuesta :
The total number of tickets sold by Stacey is 54
Solution:
Given that Stacey is selling tickets for the school concert
Let "a" be the number of adults tickets sold
Let "k" be the number of kids ticket sold
Price of one adult ticket = $ 7
Price of one kid ticket = $ 3
Given that She sold a total of $ 306 worth of tickets
Price of one adult ticket x number of adults tickets sold + Price of one kid ticket x number of kids ticket sold = $ 306
[tex]7 \times a + 3 \times k = 306[/tex]
7a + 3k = 306 --------- eqn 1
Given that She sold twice as many adult tickets as kids tickets
Number of adult tickets sold = 2 x number of kids ticket sold
a = 2k -------- eqn 2
Substitute eqn 2 in eqn 1
7(2k) + 3k = 306
14k + 3k = 306
17k = 306
k = 18
Substitute k = 18 in eqn 2
a = 2(18) = 36
a = 36
Total number of tickets sold:
Total number of tickets sold = number of adults tickets sold + number of kids ticket sold
Total number of tickets sold = a + k = 36 + 18 = 54
Thus total number of tickets sold is 54
