lynnglenda wrote:
A 30-litre bucket contains a mixture of milk and water in the ratio 2:1. A certain quantity of this mixture is replaced by water such that the ratio of milk and water becomes 8:7. This resultant mixture is added to 20 litres of another mixture containing milk and water in the ratio 3:1. What is the percentage of milk in the new mixture?
A 75%
B 53%
C 45%
D 62%
E 58%
1). we have 20 liters of milk & 10 liters of water
2). 20-x/10+x = 8/7 , we can find x = 4. so now we have 16 liters of milk and 14 liters of water
3). we pour another 20 liters in a ratio 3:1, so we have another 15 liters milk and 5 liters water. Combining with the previous numbers:
16+15/ 14+5 = 31/19 -> looking for % of total: 31/50 or 62/ 100 -> 62%