SOLUTION: if a collection of 27 coins consisting of 20 cent and $2 coins has a value of $23.40 find the number of coins of each domination

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Question 431831: if a collection of 27 coins consisting of 20 cent and $2 coins has a value of $23.40 find the number of coins of each domination
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
20 cent coins x Numbers
$2 coin ------------ y Numbers
x+y=27 .............1
x+2y=23.4 .............2
multiply (1) by -2
-2x-2y=-54
0.2x+2y=23.4
Add the two equations
-1.8x=-30.6
/-1.8
x=17 20 cent coins
plug value of x in (1)
x+y=27
17+y=27
y=27-17
y=10 $2 coin