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**mom****Member**- Registered: 2012-04-25
- Posts: 94

I don't know why but I am stuck on this problem. Can someone please help?

An appliance store sells a 15" TV for $250 and a 19" TV for $500. During a one-week period the store sold more 19" TVs than 15" TVs and collected $20,000. What was the total number of TV sets sold?

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,374

hi mom

I'll say 'f' is the number of fifteen inch sold and 'n' the number of nineteens.

You also know n > f.

That still leaves a lot of possible answers.

eg. n = 40 and f = 0 OR n = 39 and f = 2 etc etc.

Is there more information?

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

There is a total of 13 solutions at the moment.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,161

Hi;

How about 14 for the answer?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Yes, sorry. There 14 of them.

*Last edited by anonimnystefy (2013-05-08 05:38:05)*

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**mom****Member**- Registered: 2012-04-25
- Posts: 94

Thanks everyone. I did find the answer though it was painful as I could not figure out the formula.

28 15" TV's at $250 = $14000

24 19"TV's at $500 = $ 6000

52 total TV's = $20000

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Hi mom (this sounds kinda weird)

Is there a part of the question you haven't posted?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,161

Hi;

But why do you like that answer better than this one?

6 15 inchers

37 19 inchers

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**mom****Member**- Registered: 2012-04-25
- Posts: 94

awww I see the issue of the confusion. I did not type in the whole problem. 4 more were sold. Not just more were sold.

Sorry everyone.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,518

Ah, yes. With that detail the answer is unique and it is the same as your answer.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,161

Hi;

Yeparoo! Exact a mundo!

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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