Question
(5n + 20) litres mixture (milk + water) contains 40%
water. If (n − 5) litres water is added to the mixture, then ratio of quantity of milk to water becomes 6 : 5. Find the value of (3n − 2)².Solution
Initial quantity of water
= 0.4 × (5n + 20) = (2n + 8) litres Initial quantity of milk
= 5n + 20 − 2n − 8 = (3n + 12) litres ATQ; After adding water → water = 2n + 8 + n − 5 = (3n + 3) So, (3n + 12) : (3n + 3) = 6 : 5 Or, 5 × (3n + 12) = 6 × (3n + 3) Or, 15n + 60 = 18n + 18 Or, 3n = 42 Or, n = 14 Required value
= (3n − 2)²
= (42 − 2)²
= 40²
= 1600
Quantity of water in a 360 litres mixture (Milk + Water) is 80 litres less than the quantity of milk in it. Find the quantity of water to be mixed so t...
A mixture measuring 720 ml consists of milk and water in an 8:7 ratio. How much water should be added to ensure that the water content is 12.5% greater ...
When 10 litres of water is added to a mixture of milk and water, the ratio of quantity of milk and water becomes 4:5. Instead, if 20 litres of water had...
In a 60-liter mixture of petrol and diesel, the ratio of petrol to diesel is given as p:1. When 8 liters of diesel is added to th...
A 450 ml solution is composed of water and glucose mixed in the ratio of 8:7. Determine the amount of glucose that must be added to the solution so that...
Mixture ‘E’ of salt and water contains salt and water in ratio 6:5, respectively. What will be the ratio of salt to water in mixture ‘E’ when qu...
Quantity of milk is 20% more than that of water in 220 litres mixture (milk + water). If 22 litres milk is added, then find the quantity of milk in the ...
A mixture of lime and water contains 3a liters lime and (a + 40) liters water. Upon adding 20 liters more water, the ratio of quantity of water to that ...
Mixture 'A' consists of 'm' liters of milk, while mixture 'B' includes '11 + m' liters of milk. Determine the ratio in which mixture 'B' to mixture 'A' ...
- A vessel contains mixture in which 25% is water and rest is milk. If 40 liters more water added in vessel, then quantity of water becomes 35% of mixtu...
Relevant for Exams:
