In a mixture of 60 liters, the ratio of two chemicals is 2:3. How much of the fi

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Question: In a mixture of 60 liters, the ratio of two chemicals is 2:3. How much of the first chemical is in the mixture?

Options:

Correct Answer: 24 liters

Solution:

Total parts = 2 + 3 = 5. First chemical = (2/5) * 60 = 24 liters.

In a mixture of 60 liters, the ratio of two chemicals is 2:3. How much of the first chemical is in the mixture?

In a mixture of 60 liters, the ratio of two chemicals is 2:3. How much of the first chemical is in the mixture?

Step 1: Understand the ratio of the two chemicals, which is 2:3.
Step 2: Add the parts of the ratio together: 2 + 3 = 5 parts total.
Step 3: Identify how many parts of the total belong to the first chemical, which is 2 parts.
Step 4: Calculate the fraction of the first chemical in the mixture: 2 parts out of 5 total parts.
Step 5: Multiply the fraction of the first chemical by the total volume of the mixture: (2/5) * 60 liters.
Step 6: Perform the multiplication: 2 * 60 = 120, then divide by 5: 120 / 5 = 24 liters.
Step 7: Conclude that there are 24 liters of the first chemical in the mixture.

Ratios – Understanding how to interpret and calculate quantities based on given ratios.
Proportions – Applying proportions to find the quantity of a part in relation to the whole.
Basic Arithmetic – Performing basic calculations involving addition, multiplication, and division.