Question
340 ml of mixture contains milk and water in the ratio
of 18:x respectively. If 50 ml of water and 60 ml of milk is added into it then ratio of milk to water in the resulting mixture will be 2:1. Find the value of ‘x’.Solution
Quantity of milk in 340 ml of mixture = 340 × 18/(18 + x) Quantity of water in 340 ml of mixture = 340 × x/(x + 18) According to question; {6120/(18 + x) + 60}/{340x/(x + 18) + 50} = 2/1 Or, 6120/(18 + x) + 60 = 680x/(x + 18) + 100 Or, (6120 – 680x)/(x + 18) = 40 Or, 6120 – 680x = 40x + 720 Or, 720x = 5400 Or, x = 7.5
- In a town, the average rainfall for the first four days of a week was 105 cm, while the average for the last four days was 112 cm. If the weekly average ra...
The average of two consecutive even numbers is 81. If the smaller number is increased by 15% and the larger number is decreased by 15%, then find the di...
What is the average of the squares of the first 35 natural numbers?
- The average of series 'S4', which consists of 6 consecutive even numbers, is 21. The second term of series 'T4', which consists of 5 consecutive odd number...
Average run scored by a batsman in first ‘x’ matches is 55. In next 12 matches he scored runs with an average of 90 so that his overall average incr...
In an examination, the average marks obtained by the students is 40. After correcting the quantitative mistakes, the average of 50 students is reduced t...
The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs, If these two innings are excl...
The average weight of 16 people increases by 500 grams when two individuals, each with an average weight of 40 kg, are added. What is the new average we...
The average age of A and B is 22 years. If A is to be replaced by C, the average would be 20 years. The average age of C and A is 23 years. Find the age...
- The average of series 'S2', which consists of 6 consecutive even numbers, is 29. The second term of series 'T2', which consists of 5 consecutive odd number...
