Adult. Tickets are $6 and children tickets are $4. You sold a total of 21 tickets for $104. How many adult tickets amd how many children tickets did you sell?

Question

You sell tickets for admission to your school play and collect a total $104.  Admission prices are $6 four adults and $4 four children.  you sold 21 tickets. How many adult tickets and how many children tickets did you sell?

Answer 1

Let the number of adult tickets sold = A and the number of children's tickets sold = C.

 

We know:

6A + 4C = 104

A + C = 21

 

Using substitution:

A = 21 - C --> 6(21-C)+4C = 104 --> 126 - 6C + 4C = 104 --> 22 = 2C --> C = 11; A = 21-C = 21-11 = 10