SOLUTION: Dave Bowers collects U.S. gold coins. He has a collection of 41 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $540, how many of each deno

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Question 320129: Dave Bowers collects U.S. gold coins. He has a collection of 41 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $540, how many of each denomination does he have?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
20X+10(41-X)=540
20X+410-10X=540
10X=540-410
10X=130
X=130/10
X=13 ANS. FOR THE NUMBER OF $20 COINS.
41-13=28 ANS. FOR THE NUMBER OF $10 COINS.
PROOF:
20*13+10*28=540
260+280=540
540=540