Blue cassettes hold 45 minutes of music.Green cassettes hold 55 minutes of music.if niko has 14 cassettes containing 710 minute of music,how many are blue,and how many are green

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09-03-2017
Mathematics

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Blue cassettes hold 45 minutes of music.Green cassettes hold 55 minutes of music.if niko has 14 cassettes containing 710 minute of music,how many are blue,and how many are green

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Anonymous Anonymous · Answer 1 · 2017-03-09T13:29:29-05:00

Anonymous Anonymous

09-03-2017

b + g = 14 (where b and g are no.of blue and green cassettes)
45b + 55g = 710

from first equation b = 14 - g so

45(14 - g) + 55g = 710
630 - 45g + 55g = 710
10g = 80
g = 10 so b = 14-8 = 6

There are 6 blue and 8 green cassettes

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