Example 1 · level 1
A class in Kochi has 72 boys and 45 girls. Write the ratio of boys to girls in simplest form (like 3:4).
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- 72 : 45
- Divide both by 9: 8 : 5.
Answer: 8:5
CLASS 6 MATHS · RATIO AND PROPORTION
Ratio, proportion and the unitary method
Simplify a ratio like a fraction. Unitary method: find the value of one, then multiply.
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Worked examples
Example 2 · level 2
5 packets of pens cost ₹140. What is the cost of 13 packets?
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- Cost of 1 packet = ₹140 ÷ 5 = ₹28.
- Cost of 13 packets = 13 × ₹28 = ₹364.
Answer: ₹364
Example 3 · level 3
Diya and Priya share ₹3,440 of Durga Puja gift money in the ratio 5 : 3. How much does the person with the larger share get?
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- Parts = 8. One part = 3,440 ÷ 8 = ₹430.
- Shares: Diya 5 × 430 = ₹2,150, Priya 3 × 430 = ₹1,290.
- Larger share = ₹2,150.
Answer: ₹2,150