Acollection of quarters and nickels contains at least 42 coins and is worth at most $8.00. if the collection contains 25 quarters, how many nickels can be in the collection?

The total number of nickels that can be collected is 17 and this can be determined by forming the inequality.

Given :

A collection of quarters and nickels contains at least 42 coins and is worth at most $8.00.

The inequality can be formed in order to determine the total number of nickels that can be collected.

Let the total number of quarters be 'x' and the total number of nickels be 'y'. Then the inequality that represents the total number of quarters and nickels contained in the collection is at least 42 is given by:

x + y 42  --- (1)

The inequality that represents that the worth of the coins is at most $8 is given by:

0.25x + 0.5y 8   --- (2)

Now, according to the given data there are a total of 25 quarters in the collection, so, the number of nickels contained in the collection is:

x + y 42

25 + y 42

y 17

So, the total number of nickels that can be collected is 17.

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