A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much d

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Question: A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much does the winner with the largest share receive? (2019)

Options:

Correct Answer: $1200

Exam Year: 2019

Solution:

Total parts = 2 + 3 + 5 = 10. The largest share = (5/10) * 3000 = $1500.

A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much does the winner with the largest share receive? (2019)

A prize of $3000 is to be divided among 3 winners in the ratio 2:3:5. How much does the winner with the largest share receive? (2019)

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: Determine the largest share's ratio part, which is 5.
Step 4: Calculate the fraction of the total prize that corresponds to the largest share: 5 parts out of 10 parts.
Step 5: Multiply the fraction by the total prize amount: (5/10) * 3000.
Step 6: Simplify the calculation: (1/2) * 3000 = 1500.
Step 7: Conclude that the winner with the largest share receives $1500.

Ratio and Proportion – Understanding how to divide a total amount based on given ratios.
Basic Arithmetic – Performing addition and multiplication to calculate shares.