Multiple choice

Equal quantities of three mixtures of milk and water are mixed in the ratios 1 : 2, 2 : 3 and 3 : 4. The ratio of water to milk in the mixture is

  1. 193 : 122

  2. 97 : 102

  3. 115 : 201

  4. 147 : 185
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Ratios are 1:2, 2:3, 3:4. Sums are 3, 5, 7. To mix equal quantities, multiply by LCM(3,5,7) = 105. Ratios become 35:70, 42:63, 45:60. Total milk = 35+42+45 = 122. Total water = 70+63+60 = 193. Ratio of water to milk = 193:122.

AI explanation

Assume the equal quantity of each mixture is 60, which is the least common multiple of 3, 5 and 7. The milk parts are 20, 24 and roughly 25.7, and the water parts are 40, 36 and roughly 34.3. The total water is 110 and 2/7, and the total milk is 69 and 5/7, making the ratio of water to milk 772 to 488, or 193 to 122.

Keep practicing — related questions