Textmedoni
Textmedoni Textmedoni
  • 12-01-2015
  • Mathematics
Answered

A collection of dimes and nickels is worth $6.60. There are 96 coins in all.
How many of each coin are there

__dimes

__nickels



Answer :

konrad509
konrad509 konrad509
  • 12-01-2015
x - dimes
y - nickels

[tex]0.1x+0.05y=6.6\\ x+y=96\\\\ 0.1x+0.05y=6.6\\ x=96-y\\\\ 0.1(96-y)+0.05y=6.6\\ 9.6-0.1y+0.05y=6.6\\ -0.05y=-3\\ y=60\\\\ x=96-60\\ x=36[/tex]

36 dimes and 60 nickels.
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