If 40 liters of a mixture contains sugar and water in the ratio 1:4, how much su

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Question: If 40 liters of a mixture contains sugar and water in the ratio 1:4, how much sugar is in the mixture?

Options:

Correct Answer: 8 liters

Solution:

In a 1:4 ratio, the total parts = 1 + 4 = 5. Sugar = (1/5) * 40 = 8 liters.

If 40 liters of a mixture contains sugar and water in the ratio 1:4, how much sugar is in the mixture?

If 40 liters of a mixture contains sugar and water in the ratio 1:4, how much sugar is in the mixture?

Step 1: Understand the ratio of sugar to water, which is 1:4.
Step 2: Add the parts of the ratio together: 1 (sugar) + 4 (water) = 5 parts total.
Step 3: Determine how much one part is worth by dividing the total volume of the mixture (40 liters) by the total parts (5): 40 liters / 5 parts = 8 liters per part.
Step 4: Since sugar is 1 part, multiply the value of one part (8 liters) by the number of parts for sugar (1): 1 part * 8 liters/part = 8 liters of sugar.

Ratios – Understanding how to interpret and calculate quantities based on given ratios.
Proportions – Applying the concept of proportions to find a part of a whole based on a ratio.
Mixture Problems – Solving problems that involve calculating components of a mixture based on their ratios.