SOLUTION: Initially there were 3 liters of blue paint and 10 liters of crimson paint. A paint job uses 20% of the blue and 80% of the crimson paint. (a) What percentage of the total combin

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Initially there were 3 liters of blue paint and 10 liters of crimson paint. A paint job uses 20% of the blue and 80% of the crimson paint. (a) What percentage of the total combin      Log On


   

Question 937359: Initially there were 3 liters of blue paint and 10 liters of crimson paint. A paint job uses 20% of the blue and 80% of the crimson paint.
(a) What percentage of the total combined amount of paint is used during the job?
(b) What percentage of the total combined amount of paint remains after the job is finished?
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
volume of used paint:
u = 3*0.20 + 10*0.80
u = 8.6 liters
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a) percent of total paint volume used:
8.6/(3+10) * 100 = 66.1538461538 %
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b) percent of total paint volume remaining:
(3+10-8.6)/(3+10) * 100 = 33.8461538462 %
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check:
66.1538461538 + 33.8461538462 = 100 %
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