Stan has 52 quarters and nickels. He has three times as many nickels as quarters. How much money does he have?

1 Answer
Jun 3, 2018

$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: #n+q=52#
where #n# is the number of nickels and #q# is the number of quarters.

We know that there are 3 times as many nickels as quarters, so the number of nickels #n# is 3 times the number of quarters #q#:
#n=3q#

Substitute that into our initial equation to obtain:
#4q=52#
which can be solved to get:
#q=13#
so there are 13 quarters.

Use this result to find the number of nickels from the first equation:
#n+13=52#
so:
#n=39#

check:
#39/13=3#

Nickels are worth 5 cents and quarters are worth 25 cents.
So total money #T=(39xx5)+(13xx25)=520# cents
#520# cents#=$5.20#