A school awards $2000 to the top three students in the ratio of 1:2:3. How much

Practice Questions

Q1
A school awards $2000 to the top three students in the ratio of 1:2:3. How much does the second student receive? (2021)
  1. $400
  2. $600
  3. $800
  4. $500

Questions & Step-by-Step Solutions

A school awards $2000 to the top three students in the ratio of 1:2:3. How much does the second student receive? (2021)
  • Step 1: Understand that the total amount of money awarded is $2000.
  • Step 2: Recognize that the awards are given in the ratio of 1:2:3 for the first, second, and third students respectively.
  • Step 3: Add the parts of the ratio together: 1 + 2 + 3 = 6 parts in total.
  • Step 4: Determine how much each part is worth by dividing the total amount by the total parts: $2000 / 6 = $333.33 per part.
  • Step 5: Find the second student's share by multiplying the number of parts for the second student (which is 2) by the value of each part: 2 * $333.33 = $666.67.
  • Step 6: Conclude that the second student receives $666.67.
  • Ratio Distribution – Understanding how to divide a total amount based on given ratios.
  • Fraction Calculation – Calculating a portion of a total using fractions derived from ratios.
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