QUESTION

CSAT

Easy

Maths

Prelims 2015

Two equal glasses of the same type are respectively 13\frac{1}{3} and 14\frac{1}{4} full of milk. They are then filled up with water and the contents are mixed in a pot. What is the ratio of milk to water in the pot?

Select an option to attempt

Explanation

  1. Assume the volume of each glass is 1 liter for simplicity.

  2. Calculate the amount of milk in each glass:

  • First glass: 1/31/3 full of milk → 1/31/3 liter of milk.
  • Second glass: 1/41/4 full of milk → 1/41/4 liter of milk.
  1. Calculate the amount of water in each glass:
  • First glass: 11/3=2/31 - 1/3 = 2/3 liter of water.
  • Second glass: 11/4=3/41 - 1/4 = 3/4 liter of water.
  1. Total amounts in the pot:
  • Total milk: 1/3+1/4=7/121/3 + 1/4 = 7/12 liters.
  • Total water: 2/3+3/4=17/122/3 + 3/4 = 17/12 liters.
  1. Simplify the ratio of milk to water:
  • Ratio = 7/12:17/12=7:177/12 : 17/12 = 7 : 17.

Therefore, the ratio of milk to water in the pot is 7:17, corresponding to option A.

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