A scholarship fund of $10,000 is to be distributed among 4 students in the ratio

Practice Questions

Q1
A scholarship fund of $10,000 is to be distributed among 4 students in the ratio 1:2:3:4. How much will the student with the smallest share receive? (2000)
  1. $500
  2. $1000
  3. $1500
  4. $2000

Questions & Step-by-Step Solutions

A scholarship fund of $10,000 is to be distributed among 4 students in the ratio 1:2:3:4. How much will the student with the smallest share receive? (2000)
  • Step 1: Identify the total amount of the scholarship fund, which is $10,000.
  • Step 2: Understand the ratio in which the money is to be distributed among the 4 students, which is 1:2:3:4.
  • Step 3: Calculate the total number of parts in the ratio by adding the numbers together: 1 + 2 + 3 + 4 = 10 parts.
  • Step 4: Determine the value of one part by dividing the total amount by the total number of parts: $10,000 / 10 = $1,000 per part.
  • Step 5: Find the smallest share, which corresponds to the first part in the ratio (1 part): 1 part * $1,000 = $1,000.
  • Ratios – Understanding how to distribute a total amount based on given ratios.
  • Proportions – Calculating parts of a whole based on the sum of the ratio components.
  • Basic Arithmetic – Performing addition and multiplication to find the shares.
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