Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?

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23-01-2018
Mathematics

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Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?

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choixongdong choixongdong · Answer 1 · 2018-01-23T20:24:53+01:00

choixongdong choixongdong

23-01-2018

q + d = 100 so q = 100 - d
0.25q + 0.10d = 19

substitute q = 100 - d into 0.25q + 0.10d = 19

0.25q + 0.10d = 19
0.25(100 - d) + 0.10d = 19
25 - 0.25d + 0.10d = 19
-0.15d = -6
d = 40

q = 100 - 40 = 60

answer
Kitara has 60 quarters and 40 dimes

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