# 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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Student Comments

oldnick | Student

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

llltkl | Student

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**.