Multiple choice

One liquid contains $ 22\dfrac{1}{2}$% of water, another 27%. A glass is filled with 5 parts of one liquid and 7 parts off the other. What is the percentage of water in the glass?

  1. $22\dfrac{1}{8}$%
  2. $25.75$ %
  3. $25.25$ %
  4. $25\dfrac{1}{8}$%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The mixture consists of 5 parts of 22.5% and 7 parts of 27%. The weighted average is ((5 * 22.5) + (7 * 27)) / 12 = (112.5 + 189) / 12 = 301.5 / 12 = 25.125%. 25.125% is 25 1/8%.

AI explanation

Convert the first liquid's water percentage of 22 and one half to 22.5 percent. The total water in the glass is (5 times 22.5) plus (7 times 27), equaling 112.5 plus 189 for a sum of 301.5. Dividing this total water by the 12 total parts gives a percentage of 301.5 divided by 12, which equals 25.125 percent, or 25 and one eighth percent.

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