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A collection of 40 coins consists of dimes and nickels. the total value is ​$2.40. how many dimes are​ there

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Call the dimes as X ,the nickels as Y
A dime worth 0,1 $
A nickel worth 0,5 $
So :X+Y=40
0,1X+0,05Y=2,4
=>X=8,Y=32
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