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JAMB 1991 · UME · Q7

If 3 gallons of spirit containing 20%20\% water are added to 5 gallons of another spirit containing 15%15\% water, what percentage of the mixture is water?

Worked solution (try it first)
  1. Water in the first spirit: 20%20\% of 3 gallons is 0.60.6 gallon.
  2. In the second: 15%15\% of 5 gallons is 0.750.75 gallon.
  3. So the 8 gallons of mixture hold 0.6+0.75=1.350.6 + 0.75 = 1.35 gallons of water.
  4. As a percentage: 1.358×100%=16.875%\dfrac{1.35}{8} \times 100\% = 16.875\%, which is 1678%16\frac78\%, option B.

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