A prize of $1200 is to be distributed among three winners in the ratio 2:3:5. Ho

A prize of $1200 is to be distributed among three winners in the ratio 2:3:5. How much will the winner with the highest share receive? (2020)

A prize of $1200 is to be distributed among three winners in the ratio 2:3:5. How much will the winner with the highest share receive? (2020)

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 highest share from the ratio, which is 5.
Step 4: Calculate the share of the highest winner by using the formula: (highest share part / total parts) * total prize.
Step 5: Substitute the values into the formula: (5 / 10) * 1200.
Step 6: Simplify the calculation: 0.5 * 1200 = 600.
Step 7: Conclude that the winner with the highest share will receive $600.

Ratio Distribution – Understanding how to distribute a total amount based on given ratios.
Proportional Calculation – Calculating individual shares by determining the total parts and applying the ratio.