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:
Use this table to help you visualize how to get the answer:
As you can see, start with determining the amount of each coin you have.
If you have
x nickels and9 coins in total, therefore you must have9 - x quarters.
Then determine the unit price of each coin.
Nickels are
5 cents a piece, and quarters are25 cents a piece.
Now you have to get the total, so multiply the amount by the unit price for both coins.
Nickels:
5x
Quarters:
25 (9 - x)
Now considering this information, adding them together must add to
5x + 25 (9 - x) = 85
Simplify.
5x + 225 - 25x = 85
-20x + 225 = 85
-20x = -140
x = 7
This means that you have
Now knowing this and that you have
So this is why you have