solve this word problem

Question

you sell tickets for admission to your school play and collect a total of 104 admission prices are 6 for adults and 4 for children you sold 21 tickets how many adult tickets and how many children tickets did you sell

Answer 1

Let A be the number of adult tickets and C be the number of children tickets sold.  Since there are two unknowns, we need two equations.

 

6A + 4C = 104

A + C = 21

 

A = 21 - C

6(21 - C) + 4C = 104

126 - 6C + 4C = 104

-2C = -22

C = 11

A = 21 - 11 = 10

 

You sold 10 adult tickets and 11 children tickets.

 

Check:  6(10) + 4(11) = 60 + 44 = 104