Math, asked by akanshasrivastav15, 4 hours ago

1. In a mixture of 60 litres, the ratio of milk and water is
2:3. How much water must be added to this mixture
so that the ratio of milk and water becomes 1:2?
(a) 10 litres
(b) 12 litres
(c) 15 litres
(d) 20 litres​

Answers

Answered by Anonymous
2

Answer:

12 litres

Step-by-step explanation:

 \pmb{ \sf Given : -  }

In a mixture of 60 litres, the ratio of milk and water is 2:3.

 \pmb{ \sf \: To \:  Find : -  }

Water must be added to this mixture so that the ratio of milk and water becomes 1:2.

 \pmb{  \sf \: Solution:-}

 \sf \: Given \: ratio = 2 :  3 \\   \\ \leadsto \: \sf Sum \: of \: ratios = 2 + 3 \\   \leadsto \sf \: \purple 5

 \sf \: Quantity \: of \: milk =  \frac{2}{ \cancel5}  \times \cancel{ 60} \\  \leadsto \sf \: 2  \times 12 \\  \leadsto \bf \purple{24 \: l}

 \sf \: Quantity \: of \: water = 60 - 24 \\  \dashrightarrow \bf \purple{36 \: l}

Now,

 \bigstar \rm \:  \: Let \pink{ \bf \: x  l} \: be \: added

ACQ,

 \therefore \tt \:  \frac{24}{36 + x}  =  \frac{1}{2}  \\  \longrightarrow \tt  \: 1(36 + x) = 2(24) \\  \longrightarrow \tt  \: 36 + x = 48 \\  \longrightarrow \tt  \: x = 48 - 36  \\ \longrightarrow \tt  \:   \bf \color{aqua} \: x = 12 \: l

So,

The amout added = 12 l

[Option 'B' supports the answer]

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