Answer:
7 children were in the group
Step-by-step explanation:
Let the number of children's tickets = x
Let the number of adult's tickets = y
we are given the following information:
x + y = 35 - - - - - (1) (ticket sales for a group of 35 people)
8(x) + 8.75(y) = 259 - - - - - (2) (totaled $259)
the number of each ticket sold is calculated as follows:
x + y = 35 - - - - - (1)
x = 35 - y - - - - - (3)
putting the value of x in equation (3) to replace x in equation (2):
8(x) + 8.75(y) = 259 - - - - - (2)
8(35 - y) + 8.75(y) = 259
280 - 8y + 8.75y = 259
280 - 0.75y = 259
280 - 259 = 0.75y
21 = 0.75y
∴ y = 21 ÷ 0.75 = 28
∴ y = 28
putting this value of y into equation 3:
x = 35 - y - - - - - (3)
x = 35 - 28 = 7
Therefore, 7 children's and 28 adult's tickets were sold, hence 7 children were in the group.
