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If 3 gallons of spirit containing 20% water are added to 5 gallons of another...

Mathematics
JAMB 1991

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 Answer: Option B
Explanation
% 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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