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

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Answer 1 · 2016-11-08T15:13:08

There are 33 quarters.

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

Then:

$x = 220 - 40%$ of $220$ or

$x = 220 - 40/100 220$

$x = 220 - 88$

$x = 132$

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

$q = 25%$ of $132$ or

$q = 25/100 132$

$q = 33$