In a mixture of milk and water, the ratio of milk to water is 5:2. If there are

₹0.0

Question: In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 21 liters of water, how much milk is there?

Options:

Correct Answer: 25

Solution:

Let milk be 5x and water be 2x. Given 2x = 21, x = 10.5. Therefore, milk = 5x = 5*10.5 = 52.5.

In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 21 liters of water, how much milk is there?

In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 21 liters of water, how much milk is there?

Step 1: Understand the ratio of milk to water, which is 5:2.
Step 2: Let 'x' be a common multiplier. Then, milk can be represented as 5x and water as 2x.
Step 3: We know the amount of water is 21 liters, so we set up the equation: 2x = 21.
Step 4: Solve for 'x' by dividing both sides of the equation by 2: x = 21 / 2.
Step 5: Calculate x: x = 10.5.
Step 6: Now, find the amount of milk by substituting x back into the milk equation: milk = 5x = 5 * 10.5.
Step 7: Calculate the amount of milk: milk = 52.5 liters.

Ratio and Proportion – Understanding how to set up and solve problems involving ratios, specifically how to relate quantities in a mixture.
Algebraic Manipulation – Using algebra to express relationships and solve for unknowns based on given information.