SOLUTION: Does anyone know the proper formula for this word problem? I figured out the answer but could not figure out how to properly put it in formula format: There are 10 coins consis

Question 163273: Does anyone know the proper formula for this word problem? I figured out the answer but could not figure out how to properly put it in formula format:
There are 10 coins consisting of nickles and dimes. There is 80 cents total. How many nickles and dimes are there?
So far I have tried: n+d=80 and n(5)+d(10)=80
Thank you! ~Melyssa
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Well Melyssa, you are on the right track! Let n = number of nickels and d = number of dimes.
Your two equations should be:
1) and...
2) Substitute from equation 1)
Combine like-terms and simplify.

Subtract 0.5 from both sides.
Divide both sides by 0.05
and so
So there are 6 dimes and 4 nickels.
Check:
6($0.10)+4($0.05) = $0.60+$0.20 = $0.80
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