A mixture contains milk and water in the ratio 7 : 3. On adding certain amount of water to the mixture both milk and water become equal in… — Answer & Discussion

A mixture contains milk and water in the ratio 7 : 3. On adding certain amount of water to the mixture both milk and water become equal in parts. Find the quantity of water added to the original mixture if the original mixture contained 120 ml of water?

A160 ml
B120 ml
C280 ml
DNone of these

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Discussion 1

CCommunity04 Jul 2019

⇒ Let ‘x’ be the quantity of milk in the original mixture

⇒ $(\frac{7}{3} = \frac{x}{{120}})$

⇒ Quantity of milk, x = (120 × 7)/3 = 280ml

⇒ the mixture contains 280 ml of milk and 120 ml of water

⇒ The expected new ratio of milk : water is 1 : 1

⇒ Let ‘y’ be the extra water added to make the mixture have milk and water in equal parts

⇒ Thus, 120 + y = 280

⇒ y = 160 ml

∴ Extra water added = 160 ml