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?
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