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

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

Step 1: Understand that the total prize money is $1500.
Step 2: Identify the ratio in which the prize is to be divided, which is 2:3:5.
Step 3: Add the parts of the ratio together: 2 + 3 + 5 = 10.
Step 4: Determine the largest part of the ratio, which is 5.
Step 5: Calculate the share for the largest part by using the formula: (largest part / total parts) * total prize.
Step 6: Substitute the values into the formula: (5 / 10) * 1500.
Step 7: Simplify the calculation: 0.5 * 1500 = 750.
Step 8: Conclude that the student with the largest share will receive $750.

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