Question

You sell tickets for admission to your school play and collect a total of $104. Admission prices are six dollars for adults and four dollars for children. You sold 21 tickets but forgot how many you sold each. How many adult tickets and how many children tickets of his self.

Answer 1

Answer: you sold 10 adult tickets and 11 children tickets.

Step-by-step explanation:

Let x represent the number of adult tickets that you sold.

Let y represent the number of children tickets that you sold.

You sold a total of 21 tickets. This means that

x + y = 21

Admission prices are six dollars for adults and four dollars for children. You sell tickets for admission to your school play and collect a total of $104. This means that

6x + 4y = 104 - - - - - - - - - -1

Substituting x = 21 - y into equation 1, it becomes

6(21 - y) + 4y = 104

126 - 6y + 4y = 104

- 6y + 4y = 104 - 126

- 2y = - 22

y = - 22/ -2 = 11

Substituting y = 11 into x = 21 - y, it becomes

x = 21 - 11 = 10