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A sports-day box holds 12 gold medals and 30 silver medals. Which statement is TRUE?

Class 6Ratio and ProportionRatio and Proportion
  • AThe ratio of gold to silver is the same as the ratio of silver to gold
  • BThe ratio of gold to silver is 5 : 2
  • CThe ratio of silver to gold is 2 : 5
  • DThe ratio of gold to silver is 2 : 5 and the ratio of silver to gold is 5 : 2

Step-by-Step Solution

Gold : silver = 12 : 30 = 2 : 5, and silver : gold = 30 : 12 = 5 : 2. Swapping the two quantities gives a different ratio, so the two comparisons are NOT the same — that is the error in the first option, while the other two simply state the ratios in the wrong order.
Answer: D) The ratio of gold to silver is 2 : 5 and the ratio of silver to gold is 5 : 2

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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