tk9757906
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.