SOLUTION: James decided to search under his sofa cushions for money. He found nickels, dimes and quarters, and the coins were worth a total of $2.85. James found six times as many dimes as q

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Question 953646: James decided to search under his sofa cushions for money. He found nickels, dimes and quarters, and the coins were worth a total of $2.85. James found six times as many dimes as quarters, and twice as many nickels as quarters. How many quarters, dimes and nickels did James find under his sofa cushion?
Let the number of quarters = X
Number of dimes =
number of nickels =
Answer by macston(5194) (Show Source):
You can put this solution on YOUR website!
q=quarters; d=dimes=6q; n=nickels=2q
$0.05n+$0.10d+$0.25q=$2.85 Substitute for d and n
$0.05(2q)+$0.10(6q)+$0.25q=$2.85
$0.10q+$0.60q+$0.25q=$2.85
$0.95q=$2.85 Divide each side by $0.95
q=3 ANSWER 1: There were 3 quarters.
d=6q=6(3)=18 ANSWER 2: There were 18 dimes.
n=2q=2(3)=6 Answer 3: There were 6 nickels.
CHECK:
$0.05n+$0.10d+$0.25q=$2.85
$0.05(6)+$0.10(18)+$0.25(3)=$2.85
$0.30+$1.80+$0.75=$2.85
$2.85=$2.85