Question:

Two gallons of a mixture of spirit and water contain 12% of water. They are added to 3 gallons of another mixture, containing 7% of water and half a gallon of water is then added to the whole. Find the percentage of water in the resulting mixture.

Show Hint

Use weighted average formulas carefully in mixture problems.
Updated On: Mar 7, 2025
  • \( 17 \frac{3}{11} % \)
  • \( 16 \frac{12}{11} % \)
  • \( 14 \frac{1}{11} % \)
  • None of these
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is A

Solution and Explanation

Total water from the first mixture: \[ 2 \times \frac{12}{100} = 0.24 \text{ gallons} \] Total water from the second mixture: \[ 3 \times \frac{7}{100} = 0.21 \text{ gallons} \] Additional water: \[ 0.5 \text{ gallons} \] Total water in the mixture: \[ 0.24 + 0.21 + 0.5 = 0.95 \text{ gallons} \] Total volume of mixture: \[ 2 + 3 + 0.5 = 5.5 \text{ gallons} \] Percentage of water: \[ \frac{0.95}{5.5} \times 100 = 17 \frac{3}{11} % \] Thus, the correct answer is \( 17 \frac{3}{11} % \).
Was this answer helpful?
0
0

Top Questions on Mixtures and Allegations

View More Questions

Questions Asked in MAT exam

View More Questions