SOLUTION: I need this today ASAP. Six-sevenths of the tickets to a local community's group's annual performance were sold. If 82 tickets were left over, how many tickets were sold?

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Question 109609: I need this today ASAP.
Six-sevenths of the tickets to a local community's group's annual performance were sold. If 82 tickets were left over, how many tickets were sold?

Thanks a whole lot!

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
Let x=total # of tickets needed to be sold

So if Six-sevenths of the total was sold, then we have the expression

Since we are told that 82 tickets are left over, then we simply subtract the expression (which is the number sold so far) from the total x to get 82:

Multiply both sides by the LCM of 7. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)

Distribute and multiply the LCM to each side

Combine like terms on the left side

So that means that there are 574 tickets total

Now take six-sevenths of this total to get

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Answer:

So 492 tickets have been sold so far.

Notice how 492 and 82 add up to 574. So this verifies our answer.

Answer by MathLover1(20849) (Show Source):
You can put this solution on YOUR website!

if:
.....number of tickets
....number of sold tickets
.....were left over

then:
��multiply both sides by

�..move to the right

��number of sold tickets