# SOLUTION: A vending machine will accept nickels and dimes only. The attendant checks the machine and finds a total of 42 coins whose value is \$3.40. How many coins of each type were there?

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 Question 151566: A vending machine will accept nickels and dimes only. The attendant checks the machine and finds a total of 42 coins whose value is \$3.40. How many coins of each type were there?Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!D+N=42 OR D=42-N .10D+.05N=3.40 .10(42-N)+.05N=3.40 4.20-.10N+.05N=3.40 -.05N=3.40-4.20 -.05N=-.80 N=-.80/-.05 N=16 NUMBER OF NICKELS. 42-16=26 NUMBER OF DIMES. PROOF: .10*26+.05*16=3.40 2.6+.80=3.40 3.40=3.40