A 19 liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54 liter

A 19 liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54 liter mixture consisting by volume of 1 part juice to 2 parts water, then what is the value of x?

A 19 liter mixture consists by volume of 1 part juice to 18 parts water. If x liters of juice and y liters of water are added to this mixture to make a 54 liter mixture consisting by volume of 1 part juice to 2 parts water, then what is the value of x? ?

Created: 1 year ago | Updated: 1 week ago | Created By:

Nihar Afrin

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Institution: Bank Asia Ltd Exam: Bank Asia Ltd - Management Trainees - 17.06.2011 ||
Topic: Mathematics (সাধারণ গণিত) Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

Let's analyze the information and solve for x, the amount of juice added.

Initial Mixture:
- Total volume: 19 liters
- Juice part: 1/19 * 19 = 1 liter
Final Mixture:
- Total volume: 54 liters
- Juice to water ratio: 1:2 (1 part juice to 2 parts water)
Juice in Final Mixture:
- We want the final mixture to have a 1:2 juice to water ratio. Since the total volume is 54 liters, the juice part should be 1/3 of the final mixture (1 part out of 3 total parts).
- Amount of juice: 1/3 * 54 liters = 18 liters
Juice Added (x):
- The initial mixture has 1 liter of juice.
- In the final mixture, we want 18 liters of juice.
- Therefore, the amount of juice added (x) is the difference: x = 18 liters (final) - 1 liter (initial)