Practicing Success
In mixture A of 180 litres, the ratio of milk and water is 5 : 1. If this ratio is to be 3 : 2, then find the quantity of water to be added further. |
66 l 70 l 88 l 72 l |
70 l |
The original ratio of milk and water = 5 : 1 Total quantity = 180l Milk = $\frac{5}{6}$ x 180 = 150 Water = $\frac{1}{6}$ x 180 = 30 The quantity of milk remains same, while 'x'l of water is added to make the ratio 3 : 2 If $\frac{3}{5}$ of (180+ x) = 150 ⇒ 3(180 + x) = 150 x 5 ⇒ 540 + 3x = 750 ⇒ 3x = 210 or x = 70 Thus, 70l of water was added to obtain the new ratio. |