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

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Question: In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 35 liters of milk, how much water is there?

Options:

Correct Answer: 14

Solution:

Let milk be 5x and water be 2x. Given 5x = 35, x = 7. Therefore, water = 2x = 2*7 = 14.

In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 35 liters of milk, how much water is there?

In a mixture of milk and water, the ratio of milk to water is 5:2. If there are 35 liters of milk, how much water 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 milk is 35 liters. So, set up the equation: 5x = 35.
Step 4: Solve for 'x' by dividing both sides of the equation by 5: x = 35 / 5.
Step 5: Calculate x: x = 7.
Step 6: Now, find the amount of water using the formula for water, which is 2x.
Step 7: Substitute the value of x into the water formula: water = 2 * 7.
Step 8: Calculate the amount of water: water = 14 liters.

Ratio and Proportion – Understanding and applying the concept of ratios to find quantities in a mixture.
Algebraic Representation – Using variables to represent quantities and solve for unknowns.