A foundation awards $5000 to be distributed among 4 projects in the ratio 1:2:3:

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Question: A foundation awards $5000 to be distributed among 4 projects in the ratio 1:2:3:4. How much does the third project receive? (2023)

Options:

Correct Answer: $1500

Exam Year: 2023

Solution:

Total parts = 1 + 2 + 3 + 4 = 10. Third project\'s share = (3/10) * 5000 = $1500.

A foundation awards $5000 to be distributed among 4 projects in the ratio 1:2:3:4. How much does the third project receive? (2023)

A foundation awards $5000 to be distributed among 4 projects in the ratio 1:2:3:4. How much does the third project receive? (2023)

Step 1: Identify the ratio of the projects, which is 1:2:3:4.
Step 2: Add the parts of the ratio together: 1 + 2 + 3 + 4 = 10.
Step 3: Determine the share of the third project, which corresponds to the '3' in the ratio.
Step 4: Calculate the fraction of the total amount for the third project: 3 parts out of 10 total parts.
Step 5: Multiply the fraction by the total amount: (3/10) * 5000.
Step 6: Perform the calculation: 3/10 of 5000 equals 1500.
Step 7: Conclude that the third project receives $1500.

Ratio Distribution – Understanding how to distribute a total amount based on given ratios.
Fraction Calculation – Calculating a portion of a total using fractions derived from ratios.
Addition of Ratios – Summing the parts of the ratio to find the total number of parts for distribution.