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Tim sells x pens for $2 each. After he was done, the total amount of money was less...

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saugustin | Student, Grade 7

Posted May 14, 2013 at 8:03 PM via web

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Tim sells x pens for $2 each. After he was done, the total amount of money was less than $80. Find the greatest amount of pens that Tim could've have sold.

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oldnick

Posted May 14, 2013 at 9:54 PM (Answer #1)

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Since totalamount is less than 80 it has to be pair, the greataest ammount  like this is of 78$, that is 39 pens.

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llltkl | College Teacher

Posted May 15, 2013 at 3:22 AM (Answer #2)

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Tim sells x pens for $2 each.

So, the total amount of money Tim got out of this sale is 2x.  

By the condition of the problem,

2x<80

We have to find the maximum value of x for which this inequality holds good.

To solve the problem, let us first assume that 2x = 80,

or, x = 80/2 = 40.

Returning back to the original inequality,

x < 40

The maximum value of x for which this inequality holds good, is 39.

Therefore, the greatest amount of pens that Tim could've have sold is 39.

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