A prize of $1500 is to be divided among three students in the ratio 2:3:5. How m

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Question: A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much does the student with the largest share receive?

Options:

Correct Answer: $750

Solution:

Total parts = 2 + 3 + 5 = 10. Largest share = (5/10) * 1500 = $750.

A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much does the student with the largest share receive?

A prize of $1500 is to be divided among three students in the ratio 2:3:5. How much does the student with the largest share receive?

Step 1: Identify the ratio parts for the three students, which are 2, 3, and 5.
Step 2: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 3: Determine the largest part of the ratio, which is 5.
Step 4: Calculate the fraction of the total prize that corresponds to the largest part: 5 parts out of 10 total parts.
Step 5: Multiply the fraction by the total prize amount: (5/10) * 1500.
Step 6: Simplify the calculation: (1/2) * 1500 = 750.
Step 7: Conclude that the student with the largest share receives $750.

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