A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?

Question

Satt Academy · Accepted Answer

প্রশ্নে বলা হচ্ছে, একজন গোয়ালার দুটি দুধের পাত্র আছে। প্রথম পাত্রে 25% পানি ও বাকি দুধ আছে। দ্বিতীয় পাত্র 50% পানি ধারণ করছে। প্রত্যেক পাত্র হতে কি পরিমাণ দুধ মেশালে 3 : 5 অনুপাতের মিশ্রণে 12 লিটার দুধ পাওয়া যাবে? Let, each cans 'x' and 'y' litters of milk and water should be mixed to get water to milk 3 : 5Can-1: Water = x of 25%

x × 25100 = x4Milk = x of (100-25)% = x of 75% = 3x4Can-2: Water = y of 50% = y2Milk = y of (100 – 50)% = y of 50% = y2According to the question x4 + y2  : 3x4 + y2 = 3 : 5 ⇒ x4 + y2 3x4+ y1 = 35 ⇒ x+2y4 3x + 2y4 = 35 ⇒ x+2y 3x + 2y = 35 ⇒ 5(x+2y) = 3(3x+2y) ⇒ 5x+10y=9x+6y ⇒ 10y-6y=9x-5x ⇒ 4y=4x ∴ x : x = 1 : 1Sum of ratio = 1+1=2∴ Each can milk should be mixed = 12 × 12 = 6 liters

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?
(Mixture)

Question:
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?
(Mixture)

গণিত

Related Question

1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

Related Question

Promotion

Satt AI

Hi, আমি SATT AI!

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5? (Mixture)

Question: A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5? (Mixture)

গণিত

Related Question

1 . দুইটি সংখ্যার গ. সা. গু ২১ এবং ল. সা. গু ৪৬৪১। একটি সংখ্যা ২০০ ও ৩০০ এর মধ্যবর্তী; | অপরটি কত?

Related Question

Promotion

Satt AI

Hi, আমি SATT AI!

A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?
(Mixture)

Question:
A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is 3 : 5?
(Mixture)