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:
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Add the parts of the ratio:
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Calculate the value of one part:
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Distribute according to the ratio:
- The first person receives
- The second person receives
Answer:
- The first person receives 24.
- The second person receives 36.
Would you like further details or have any questions?
- What if the total was a different number, like 100, with the same ratio?
- How do ratios change if additional people are involved?
- Can you apply this to sharing amounts in other ratios, such as 1:4?
- What if the ratio had decimals, like 1.5:2.5?
- 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