SOLUTION: Here's a problem that after a few hours, I still can't figure out: Jamil has in a jar only nickels and dimes. he has 9 times as many dimes as nickels, and the value of the dimes

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Question 170343: Here's a problem that after a few hours, I still can't figure out:
Jamil has in a jar only nickels and dimes. he has 9 times as many dimes as nickels, and the value of the dimes is $10.20 more than the value of the nickels. How many nickels and dimes does Jamil have?
this is what i had so far, but was not sure if it was right:
x=dimes y=nickels
9x=y
10.20+y=x
i'm not sure where to go from there. please help!
THANK YOU SOOO MUCH!!!
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
I PREFER D FOR DIMES & N FOR NICKLES MAKES IT EASIER TO REMEMBER WHAT'S WHAT.
D=9N
.10D=.05N+10.20
.10*9N=.05N+10.20
.9N=.05N+10.20
.9N-.05N=10.20
.85N=10.20
N=10.20/.85
N=12 NUMBER OF NICKLES.
D=9*12
D=108 NUMBER OF DIMES.
PROOF:
.10*108=.05*12+10.20
10.80=.60+10.20
10.80=10.80