Question
The average weight of x persons
is 33 kg. The average weight of (x−16) women is 45 kg, the average weight of (x−30) children is 40 kg, and the average weight of (x−35) men is 40 kg. Find the value of x, given that the total number of persons is the sum of men, women, and children.Solution
ATQ, Total weight of x persons = 35 × x = 35x kg Total weight of (x - 16) women = 45 × (x -16) = 45x - 720 kg Total weight of (x - 30) children = 40 × (x - 30) = 40x - 1200 kg Total weight of (x - 33) men = 40 × (x - 33) = 40x - 1320 kg According to the question, 35x = 45x - 720 + 40x - 1200 + 40x - 1320 35x = 125x - 3240 90x = 3240 x = 36
In a mixture containing a certain quantity of pure alcohol, 20% of the alcohol is removed from the container and replaced with an equal amount of water....
Two mixtures A and B are in the ratio of 3:2. Mixture A contains ×% of milk and a% of water. Mixture B contains y% of milk and b% of water. If mixture ...
225 ml of mixture ‘A’ contains milk and water in the ratio 2:3 respectively. If the quantity of milk in mixture ‘B’ is 25.5% more than that in m...
A can initially contains a mixture of glycerine and water, with 60 liters more glycerine than water. When 20% of this mixture is removed and replaced wi...
40 litres of a solution contains 20% milk. After adding 'd' litres of pure milk, the quantity of milk becomes 150% more than the quantity of water. If m...
Two types of pulses, priced at ₹80 per kg and ₹90 per kg, are mixed in a ratio such that the resulting mixture is sold at ₹107.5 per kg with a 25%...
600 ml of mixture contains milk and water in the ratio of 3:2. If `x` ml of milk and `(x - 40)` ml of water are added, then the ratio becomes 7:5. Find ...
- A solution contains milk and water in the ratio 4:1. If 25 litres of the 75-litre solution is removed and then 10 litres of water is added, what is the qua...
- Two mixtures (milk and water) 'A' and 'B' contain milk and water in the ratio 2:3 and 1:2 respectively. If 30 ml from 'A' and 36 ml from 'B' are mixed, fin...
A mixture consists of (k+16) liters of milk and (2k+12) liters of water. After adding 8 liters of milk and 20 liters of water to ...
Relevant for Exams:
