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

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asked Sep 4, 2016 222k views

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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

Mathematics
middle-school

BrooklynSon asked

by BrooklynSon

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x - dimes
y - nickels

$0.1x+0.05y=6.6\\ x+y=96\\\\ 0.1x+0.05y=6.6\\ x=96-y\\\\ 0.1(96-y)+0.05y=6.6\\ 9.6-0.1y+0.05y=6.6\\ -0.05y=-3\\ y=60\\\\ x=96-60\\ x=36$

36 dimes and 60 nickels.

Paul Martin answered Sep 9, 2016

by Paul Martin

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