Math Problem Statement

if 60 is shared in the ratio 2:3, how much does each person receive?

Solution

To divide 60 in the ratio 2:3:

  1. Add the parts of the ratio:
    2+3=52 + 3 = 5

  2. Calculate the value of one part:
    605=12\frac{60}{5} = 12

  3. Distribute according to the ratio:

    • The first person receives 2×12=242 \times 12 = 24
    • The second person receives 3×12=363 \times 12 = 36

Answer:

  • The first person receives 24.
  • The second person receives 36.

Would you like further details or have any questions?

  1. What if the total was a different number, like 100, with the same ratio?
  2. How do ratios change if additional people are involved?
  3. Can you apply this to sharing amounts in other ratios, such as 1:4?
  4. What if the ratio had decimals, like 1.5:2.5?
  5. How do ratios apply in real-life scenarios like recipes or budgets?

Tip: Always check your total after calculating to ensure the parts add up to the initial amount.

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Math Problem Analysis

Mathematical Concepts

Ratio and Proportion
Division

Formulas

Total Parts = Sum of Ratios (2 + 3)
Each Share = Total ÷ Total Parts

Theorems

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Suitable Grade Level

Grades 5-7