SOLUTION: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but three times as many quarters as dimes. The total value of the coins was $11.4

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Question 190247: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but three times as many quarters as dimes. The total value of the coins was $11.40. how many coins of each type did Sam find?
Okay, I am confused, can someone please help me? Where do I start?
Answer by josmiceli(6783) (Show Source):
You can put this solution on YOUR website!
Let the number of nickels =
Let the number of dimes =
Let the number of quarters =
given:
(1)
(2)
(3) (in cents)
---------------------------
From (1)

therefore
(3)

and, since

also

He found 7 nickels, 13 dimes and 39 quarters
check:
(3)
You can check this