Question 3 of 22intermediate🔧 ApplyFill in the Blanks2 marks

Fill in the missing numbers for these ratios that are proportional to 18 : 24. 3 : ____ 12 : ____ 20 : ____ 27 : ____

Correct Answer

3 : 4, 12 : 16, 20 : 26⅔ (or 80/3), 27 : 36

Exercise: Figure it Out (Section 1) | Q: 3 | (Page Page 7)
For More Understanding

Explanation

The ratio 18:24 simplifies to 3:4 (dividing both terms by HCF of 6). For any ratio proportional to 18:24, both terms must change by the same factor.

Solution Steps

  1. Step 1: Simplify 18:24 by dividing by HCF(18,24)=6 to get 3:4.

  2. Step 2: For 3:?, since 18÷6=3, we need 24÷6=4. Answer: 4

  3. Step 3: For 12:?, since 18×(2/3)=12, we need 24×(2/3)=16. Answer: 16

  4. Step 4: For 20:?, since 18×(10/9)=20, we need 24×(10/9)=80/3=26⅔. Answer: 26⅔

  5. Step 5: For 27:?, since 18×(3/2)=27, we need 24×(3/2)=36. Answer: 36

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