Posted by **debra** on Sunday, November 28, 2010 at 4:30pm.

a ticket booth sold 456 tickets and collected $2311.50 in ticket sales. Adult tickets are $6.50 and child tickets are $2. how many tickets of each type were sole?

- math -
**Person_blah**, Sunday, November 28, 2010 at 4:42pm
I'll try to help.

You know that a certain number of child tickets and a certain number of adult tickets must add up to equal 456.

Say x = adult tickets (number)

y = # child tickets

So x + y = 456

And the money collected is :

6.5x + 2y = 2311.5

2(x + y = 456) ==> 2x + 2y = 912.

6.5x + 2y = 2311.5

- (2x + 2y = 912)

4.5x = 1399.5

x = 1339.5 / 4.5 = 311

311 + y = 456

y = 145

SO # adult tickets = 311 # child tickets = 145

Hope that helped. Peace out.

- math -
**Reiny**, Sunday, November 28, 2010 at 5:18pm
Adult tickets --->

children tickets --> 456-x

6.5x + 2(456-x) = 2311.5

times 2

13x + 4(456-x) = 4623

9x = 2799

x = 311

so 311 adult tickets and 145 children tickets

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