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a piggy bank contains 100 coins consisting of nickels and dimes. the total value of the coins is $8.50. How many coins of each type does the bank contain?

Verified Answer :

kelemmic

the bank contains 30 nickels and 70 dimes.


passingwithaD

30 Nickels, 70 Dimes

1 nickel (n) =5 cents
1 dime (d) =10 cents
total value 850 cents
5n+10d=850        divide both sides by 5

n+2d=170     solving with the system of equations we get

n+2d=170
n+d=100

N=30
D=70



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