SOLUTION: Mr. Nilo Gaw has some coins in his pocket consisting of dimes, nickels and pennies. He has three times as many as nickels, and two more nickels than dimes. How many coins of each k

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Question 686291: Mr. Nilo Gaw has some coins in his pocket consisting of dimes, nickels and pennies. He has three times as many as nickels, and two more nickels than dimes. How many coins of each kind are there if there total value is 52 cents.

This my solution...
X=3X
Y=3X+2
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Not sure your info is correct. "He has 3 times as many as nickles" ... 3 times as many as what to nickles? Three times the pennies?
I will assume pennies is 3 times the number of nickles.
Let the number of pennies be P. Nickles be N. Dimes are D
Given that
You are told the sum of the money is 52 cents.
Thus
P+%2B+5N+%2B+10D+=+52
P+=+3N
N+-+2+=+D
So plug all that in and solve for N
3N+%2B+5N+%2B+10%28N-2%29+=+52
8N+%2B+10N+-+20+=+52
18N+-+20+=+52
18N+=+72
N+=+4
So he has 4 nickles. Use that to solve for P and D
P = 12, D = 2
Check your answers. Do 2 dimes, 4 nickles and 12 pennies equal 52 cents?