A budget of $60,000 is divided among three departments in the ratio 2:3:5. How m

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Question: A budget of $60,000 is divided among three departments in the ratio 2:3:5. How much does the department with the largest share receive?

Options:

Correct Answer: $40,000

Solution:

Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * $60,000 = $30,000.

A budget of $60,000 is divided among three departments in the ratio 2:3:5. How much does the department with the largest share receive?

A budget of $60,000 is divided among three departments in the ratio 2:3:5. How much does the department with the largest share receive?

Step 1: Identify the total ratio parts by adding the numbers in the ratio: 2 + 3 + 5.
Step 2: Calculate the total parts: 2 + 3 + 5 = 10.
Step 3: Identify the largest share from the ratio, which is 5.
Step 4: Calculate the fraction of the budget that corresponds to the largest share: 5 parts out of 10 total parts.
Step 5: Multiply the fraction by the total budget: (5/10) * $60,000.
Step 6: Simplify the calculation: (1/2) * $60,000 = $30,000.
Step 7: Conclude that the department with the largest share receives $30,000.

Ratios – Understanding how to divide a total amount based on given ratios.
Proportions – Calculating parts of a whole based on the total number of parts in a ratio.
Basic Arithmetic – Performing multiplication and division to find the share of each department.