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

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

Options:

Correct Answer: $400

Exam Year: 2021

Solution:

Total parts = 1 + 2 + 3 = 6. Second student\'s share = (2/6) * 2000 = $666.67.

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

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.