A can contains milk and water in the ratio 3 : 1. A part of this mixture is replaced with milk, and now the new ratio of milk to water is 15 : 4. What proportion of original mixture had been replaced by milk? (Mixture)

Shohan

11 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে, একটি পাত্রে দুধ ও পানি 3 : 1 অনুপাতে রয়েছে। এই মিশ্রণের কিছু অংশ দুধ দ্বারা অপসারিত করা হলো। এর ফলে নতুন মিশ্রণে দুধ ও পানির অনুপাত 15 : 4. এখন প্রশ্ন হলো কি অনুপাতে দুধ দ্বারা ঐ মিশ্রণ অপসারিত হয়েছিল?

Let, the original amount of milk is 3x

& the original amount of water is x

∴ Total amount of original mixture = 3x + x = 4x

Now, we let y amount of mixture is replaced with milk

So, according to question

$\frac{3 x + y}{4 x} = \frac{15}{19} [H e r e, a m o u n t o f n e w m i x t u r e = 15 + 4 = 19] \Rightarrow 57 x + 19 y = 60 x = 60 x - 57 x = 19 y \Rightarrow 19 y = 3 x ∴ y = \frac{3 x}{19} ∴ \frac{3}{19} P o r t i o n o f t h e o r i g i n a l m i x t u r e h a d b e e n r e m o v e d .$

11 views Answered 2024-12-14 13:31

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