Three times as many children attended a concert.

Question

Three times as many children as adults attended a concert on Saturday. An adult's ticket cost $7 and a child's ticket cost $3. The theater collected a total of $6,000. How many people bought tickets?

Answer 1

It is given that

X= number of adult tickets

7x = value of the adult tickets

3x = number of child tickets

3x * 3 = value of children's tickets, which is also 9x

Value of adults plus value of children's = 6000

7x + 9x = 6000

Combine terms

16x = 6000

Divide by 16

x = 6000/16= 375 = number of adult tickets

Number of children's tickets = 3 * 375 = 1125 = number of children's tickets

Check:

Adults = 375 * 7 = 2625

Children's = 1125 * 3 = 3375

Total = 6000

Answer 2

x = number of adult tickets

7x = value of the adult tickets

 

3x = number of child tickets

3x * 3 = value of children's tickets, which is also 9x

 

Value of adults plus value of children's = 6000

 

7x + 9x = 6000

Combine terms

16x = 6000

Divide by 16

x = 6000/16

Simplify fraction

x = 3000/8 = 1500/4 = 750/2 = 375 = number of adult tickets

 

Number of children's tickets = 3 * 375 = 1125 = number of children's tickets

 

Check:

Adults = 375 * 7 = 2625

Children's = 1125 * 3 = 3375

Total = 6000

 Hope that helps, Jenn.

 

Mary Ann