If 3 gallons of spirit containing 20 water are ... - JAMB Mathematics 1991 Question
If 3 gallons of spirit containing 20% water are added to 5 gallons of another spirit containing 15% water, what percentage of the mixture is water?
A
2\(\frac{4}{5}\)%
B
16\(\frac{7}{8}\)%
C
18\(\frac{1}{8}\)%
D
18\(\frac{7}{8}\)%
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Correct Option: B
% of water in the mixture
= (\frac{\text{Total Amount of water}}{\text{Total quantity of spirit}}) x (\frac{100}{1})
(\frac{3(\frac{20}{100}) + 5 (\frac{15}{100})}{3 + 5}) x (\frac{100}{1})
= (\frac{\frac{6}{10} + \frac{75}{100}}{8}) x (\frac{100}{1})
= (\frac{0.6 + 0.75}{8}) x (\frac{100}{1})
= (\frac{1.35}{8}) x (\frac{100}{1})
= (\frac{33.75}{2})
= 16.875
= 16(\frac{7}{8})
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