Question 695616: how many nickles and quaters are in 5.80 if there are 60 coins? Found 2 solutions by vleith, unlockmath:Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! let n be the number of nickles and q be the number of quarters
You are
so
which means n = 60-14 = 46
You can put this solution on YOUR website! Hello,
Let's have N represent nickles and Q be quarters so we can set up 2 equations:
N + Q = 60 or can be written as: N= 60-Q
.05N +.25Q = 5.80
With me so far?
Let's get rid of the decimals by multiplying by 100:
5N + 25Q = 580
Now, let's use substitution:
5(60-Q)+25Q=580
Expand:
300-5Q+25Q=580
Subtract 300:
20Q=280
Divide by 20:
Q=14
So we know that there are 14 quarters and 46 nickles.
Make sense?
RJ
www.math-unlock.com
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