# SOLUTION: a vending machine takes only nickels and dimes.there are 5 times as many dimes as nickels in the machine.the face value of the coins is \$4.40.how many of each coin are in the machi

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 Question 118808: a vending machine takes only nickels and dimes.there are 5 times as many dimes as nickels in the machine.the face value of the coins is \$4.40.how many of each coin are in the machine?Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!LET X=THE NUMBER OF NICKELS & 5X EQUAL THE NUMBER OF DIMES. .05X+.10*5X=4.40 .05X+.50X=4.40 .55X=4.40 X=4.40/.55 X=8 IS THE NUMBER OF NICKELS. 5*8=40 IS THE NUMBER OF DIMES. PROOF. .05*8+.10*5*8=4.40 .40+4=4.40 4.40=4.40