The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?

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01-10-2017
Mathematics

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The value of 110 coins, consisting of dimes and quarters, is $20.30. how many of each kind of coin are there?

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texaschic101 texaschic101 · Answer 1 · 2017-10-01T07:34:47+02:00

texaschic101 texaschic101

01-10-2017

d + q = 110......d = 110 - q
0.10d + 0.25q = 20.30

0.10(110 - q) + 0.25q = 20.30
11 - 0.10q + 0.25q = 20.30
-0.10q + 0.25q = 20.30 - 11
0.15q = 9.30
q = 9.30/0.15
q = 62 <==== there are 62 quarters

d = 110 - q
d = 110 - 62
d = 48 <==== there are 48 dimes

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