SOLUTION: Stefan has 42 coins in his collection. The coins consist of nickles, dimes, and quarters. He has twice as many quarters as dimes. Although the collection has been appraised at $120

Question 53850: Stefan has 42 coins in his collection. The coins consist of nickles, dimes, and quarters. He has twice as many quarters as dimes. Although the collection has been appraised at $1200, the coins' face value is $6.60. How many of each type of coin does he have?
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
42=N+D+2D OR 42=N+3D OR N=42-3D & 5N+10D+25*2D=660 OR 5N+60D=660 THEN SUBSTITUTING 42-3D FOR N WE GET 5(42-3D)+60D=660 OR 210-15D+60D=660 OR
210+45D=660 OR 45D=660-210 OR 45D=450 OR D=450/45 OR D=10 THEREFORE WE HAVE
42=N+3*10 OR N=42-30 OR N=12
PROOF 660=5*12+10*10+20*25 OR 660=60+100+500 OR 660=660

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