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

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(19441) (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
RELATED QUESTIONS
Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes... (answered by jim_thompson5910)

Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes... (answered by jim_thompson5910,josmiceli)

Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes... (answered by ptaylor,josmiceli)

Sam found a number of nickels, dimes, and quarters in his room. He found three more dimes (answered by scott8148)

Sam found a number of nickels, dimes, and quarters in his room. He found three more... (answered by solver91311,ankor@dixie-net.com)

Sam found a number of nickels,dimes, and quarters in his room. He found three more dimes... (answered by josmiceli,Edwin McCravy)

Sam found a number of nickels, dimes, and quarters inhis room. He found 6 more dimes than (answered by Alan3354)

Sam found a number of nickels, dimes and quarters in his room. He found 3 more dimes than (answered by nerdybill)

Sam found a number of nickels, dimes and quarters in his room. He found 3 more dimes than (answered by gonzo)