You have 85 cents made up of nickels (5 cents) and (25 cents). You only have 9 coins. How many quarters and nickels do you have?

Question

You have 85 cents made up of nickels (5 cents) and (25 cents). You only have 9 coins. How many quarters and nickels do you have?

1 Answer

Impact of this question

7900 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-12T21:42:57

$7$ $7$ nickels and $2$ $2$ quarters

Explanation:

Use this table to help you visualize how to get the answer:
enter image source here

As you can see, start with determining the amount of each coin you have.

If you have $x$ $x$ nickels and $9$ $9$ coins in total, therefore you must have $9 - x$ $9 - x$ quarters.

Then determine the unit price of each coin.

Nickels are $5$ $5$ cents a piece, and quarters are $25$ $25$ cents a piece.

Now you have to get the total, so multiply the amount by the unit price for both coins.

Nickels:

$5 x$ $5x$

Quarters:

$25 (9 - x)$ $25 (9 - x)$

Now considering this information, adding them together must add to $85$ $85$ cents because that is the total amount you have. This gives us the following equation:

$5 x + 25 (9 - x) = 85$ $5x + 25 (9 - x) = 85$

Simplify.

$5 x + 225 - 25 x = 85$ $5x + 225 - 25x = 85$

$- 20 x + 225 = 85$ $-20x + 225 = 85$

$- 20 x = - 140$ $-20x = -140$

$x = 7$ $x = 7$

This means that you have $7$ $7$ nickels.

Now knowing this and that you have $9$ $9$ total coins, you have to do $9 - 7$ $9 - 7$ to get $2$ $2$ , the amount of quarters you have.

So this is why you have $7$ $7$ nickels and $2$ $2$ quarters.

Science

Math

Humanities

... and beyond

You have 85 cents made up of nickels (5 cents) and (25 cents). You only have 9 coins. How many quarters and nickels do you have?

1 Answer

Explanation:

Related questions

Impact of this question