The ratio of milk and water in a 60 litre mixture is 7: 3. Find the qu

1.	The ratio of milk and water in a 60 litre mixture is 7: 3. Find the quantity of milk to beadded to the mixture to make the ratio 5 : 1.
Answer» Answer: 48 litres of milk should be added to the mixture to make the ratio 5 : 1. Step-by-step explanation: Given that: The ratio of milk and water in a 60 litre mixture is 7 : 3. To Find: Quantity of milk to be added to the mixture to make the ratio 5 : 1. Let us assume: Quantity of the milk be 7x. Quantity of water be 3x. According to the question: $\sf{\implies 7x+3x=60}$ Adding, $\sf{\implies 10x=60}$ Transposing 10 from LHS to RHS and changing its sign, $\sf{\implies x=\dfrac{60}{10}}$ DIVIDING, $\sf{\implies x=<klux>6</klux>}$ Hence, x = 6 Therefore, Quantity of milk = 7x = 7 × 6 = 42 litres Quantity of water = 3x = 3 × 6 = 18 litres Now, let us assume: Quantity of milk to be added be n. Then, according to the question: $\sf{\implies\dfrac{42+n}{18}=\dfrac{5}{1}}$ $\sf{\implies\dfrac{42+n}{18}=5}$ Transposing 8 from LHS to RHS and changing its sign, $\sf{\implies42+n=5\times18}$ Multiplying, $\sf{\implies42+n=90}$ Transposing 42 from LHS to RHS and changing its sign, $\sf{\implies n=90-42}$ Subtracting, $\sf{\implies n=48}$ Hence, n = 48 Therefore, Quantity of milk to be added = n = 48 litres