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Answered

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1000 tickets were sold. Adult tickets cost $8.50, children's cost $4.50, and a total of $5700 was collected. How many tickets of each kind were sold?​

Sagot :

Leora03

Answer:

300 adult tickets and 700 children's tickets

Step-by-step explanation:

Let the number of adult tickets sold be a and the number of children's tickets sold be c.

a +c= 1000 -----(1)

Total amount collected

= (number of adult ticket)(cost of an adult ticket) +(number of children's tickets)(cost of a children's ticket)

a(8.50) +c(4.50)= 5700

8.5a +4.5c= 5700 -----(2)

From (1):

a= 1000 -c -----(3)

Substitute (3) into (2):

8.5(1000 -c) +4.5c= 5700

Expand:

8500 -8.5c +4.5c= 5700

Simplify:

8500 -4c= 5700

4c= 8500 -5700

4c= 2800

Divide both sides by 4:

c= 2800 ÷4

c= 700

Substitute c= 700 into (3):

a= 1000 -700

a= 300

Thus, 300 adult tickets and 700 children's tickets were sold.

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