Multiple choice

Two gallons of a mixture of water and sprit, water contain 15% of mixture. They are added to 3 gallons of another mixture of water and sprit, in which water contain 8% of mixture and half of a gallon water when added to the whole mixture find the water percentage in resulting mixture?

  1. (a) 17 10/11%

  2. (b) 18 10/11 %

  3. (c) 16 10 / 11%

  4. (d) 1910 / 11%

  5. (e) 2010 / 11%

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The first mixture contains 2 x 15% = 0.3 gallons of water, and the second contains 3 x 8% = 0.24 gallons. Adding 0.5 gallons of water gives 1.04 gallons of water in 5.5 gallons of mixture. The percentage is 1.04/5.5 x 100 = 18 10/11%.

AI explanation

The first 2 gallons of mixture contain 15% water, which is 0.3 gallons, and the next 3 gallons contain 8% water, which is 0.24 gallons. Adding 0.5 gallons of pure water brings the total water to 0.3 + 0.24 + 0.5 = 1.04 gallons in a total of 5.5 gallons of mixture. The final percentage of water is (1.04 / 5.5) * 100 = 18 10/11%.