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A chess club has 105 members and a music club has 45 members. In lowest terms, the ratio of chess-club members to music-club members is:

Class 6Ratio and ProportionRatio and Proportion
  • A21 : 9
  • B7 : 3
  • C3 : 7
  • D7 : 10

Step-by-Step Solution

105 : 45 — the HCF of 105 and 45 is 15, so 105÷15 : 45÷15 = 7 : 3. Dividing by only 5 leaves 21 : 9, which is equivalent but not in lowest terms. 7 : 10 compares the chess club with the combined 150 members, and 3 : 7 reverses the order.
Answer: B) 7 : 3

Key idea: What a ratio means

The ratio 2 : 3 says: for every 2 of one thing, there are 3 of another. In a fruit basket of 2 apples and 3 oranges, the ratio of apples to oranges is 2 : 3. **Order matters** — the ratio of oranges to apples in the same basket is 3 : 2. The two quantities must be in the same unit (you can't ratio apples to kilograms unless you convert).

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