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1000 tickets were sold.adult tickets costs $8. 50, childrens cost $4.50,and a total of $7300 was collected.how many tickets of each kind were sold?

User Mobibob
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1 Answer

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Answer:

700 adult tickets and 300 children tickets were sold.

Explanation:

This question requires a system of equations. We must create two equations, one consisting of the number of tickets, and another one consisting of the total amount.

a : # of adult tickets

c : # of child tickets

a + c = 1000

There are one thousand tickets sold, so the total of the tickets must add up to 1000.

8.5a + 4.5c = 7300

Each adult ticket costs $8.50, and each child ticket costs $4.50, and the total comes out to $7300.

a + c = 1000

8.5a + 4.5c = 7300

Now, use elimination or substitution to find out how many tickets there are of each. In this case, we can use elimination.

-4.5(a + c = 1000) = -4.5a - 4.5c = -4500

-4.5a - 4.5c = -4500

8.5a + 4.5c = 7300

Add both the equations:

4a = 2800

a = 700

Plug a back into one of the first equations.

a + c = 1000

700 + c = 1000

c = 300

In the end, 700 adult tickets and 300 children tickets were sold.

User Rob Allsopp
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