# Pat M has 220 quarters. 40% of the coins are not pennies. Of the remaining coins, 25% are quarters. How many quarters are there?,

Nov 8, 2016

There are 33 quarters.

#### Explanation:

Let $x$ represent the number of coins that are NOT pennies.

Then:

x = 220 - 40% of $220$ or

$x = 220 - \frac{40}{100} 220$

$x = 220 - 88$

$x = 132$

The $q$ or the number of quarters is 25% of 132:

q = 25% of $132$ or

$q = \frac{25}{100} 132$

$q = 33$