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

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

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Answer 1 · 2018-06-03T15:19:05

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

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

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

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

check:
$\frac{39}{13} = 3$ $39/13=3$

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

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

1 Answer

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