Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?
50.7
Step 1 — Choose a common capacity: LCM of (5+7), (7+9), (2+1) = LCM(12,16,3) = 48 units per bottle.
Step 2 — Milk in each bottle:
\[\tfrac{5}{12}\times 48=20,\quad \tfrac{7}{16}\times 48=21,\quad \tfrac{2}{3}\times 48=32\]
Step 3 — Percentage of milk:
\[\frac{20+21+32}{48\times 3}\times 100=\frac{73}{144}\times 100\approx 50.7\%\]
Therefore the new mixture is 50.7% milk.
Similar Questions
If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?
One cup has juice and water in the ratio 5 ∶ 2, while another cup of the same capacity has them in the ratio 7 ∶ 4, respectively. If contents of both the cups (when full) are poured in a vessel, then what will be the final ratio of water to juice in the vessel?
A and B are solutions of acid and water. The ratios of water and acid in A and B are 4 : 5 and 1 : 2 respectively. If x liters of A is mixed with y liters of B, then the ratio of water and acid in the mixture becomes 8 : 13 What is x : y?
A vessel contained a solution of acid and water, in which water was 64%. Four litres of the solution was taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30% acid, the quantity (in litres) of the water in the solution, at the beginning in the vessel, was:
How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?
Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 25% acid?
If a dairy mixes cow’s milk which contains 10% fat with buffalo’s milk which contains
20% fat, then the resulting mixture has fat (120/7) % of fat. In what ratio was the
cow’s milk mixed with buffalo’s milk?A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?
A jar contains a blend of a fruit juice and water in the ratio 5 ∶ x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 ∶ 1. What is the value of x?
An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?
Important Questions from To Make a Mixture from Two Mixtures
In a 90 litre solution, acid and water are in the ratio 2 ∶ 1, To make the ratio of acid and water as 1 ∶ 2, how many litre of water should be added to the solution?
In a milk and water solution, the ratio of milk to water is 1 : 4. M litres of milk is added in it and ratio become 1 : 3. Again N litres of water is added in it and ratio become 2 : 7. If N – M = 4, then what is the initial quantity of solution?
A mixture contains acid and alcohol in the ratio of 3 : 2. On adding 10 litres of alcohol in mixture, the ratio of acid to alcohol becomes 3 : 5. The quantity of acid (in litres) in the original mixture was:
How many litres of acid are there in 12 litres of a 20% solution?
1 litre of water at 40°C is mixed with 1 litre of water at 60°C. What will be the approximate temperature of water after a certain time?
