Stan has 52 quarters and nickels. He has three times as many nickels as quarters. How much money does he have?
1 Answer
$5.20
Explanation:
Start off by forming an equation:
We know that there are a total of 52 coins made up of quarters and nickels.
So the number of nickels plus the number of quarters equals 52.
Algebraically:
where
We know that there are 3 times as many nickels as quarters, so the number of nickels
Substitute that into our initial equation to obtain:
which can be solved to get:
so there are 13 quarters.
Use this result to find the number of nickels from the first equation:
so:
check:
Nickels are worth 5 cents and quarters are worth 25 cents.
So total money