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A bottling machine fills 480 bottles in 8 minutes. Working at the same rate, how many bottles will it fill in 15 minutes?

Class 7Comparing QuantitiesComparing Quantities
  • A487
  • B900
  • C256
  • D7200

Step-by-Step Solution

Bottles in one minute = . In 15 minutes = bottles. 7200 is , which skips the unitary step and treats 480 as the one-minute rate. 256 is , the fraction the wrong way up, and 487 adds the 7 extra minutes on as 7 bottles.
Answer: B) 900

Key idea: Three forms of the same number

Fractions, decimals, and percentages are three notations for the same idea. Convert freely:

- **Fraction → percentage**: multiply by 100. .
- **Percentage → fraction**: divide by 100 and simplify. .
- **Decimal → percentage**: shift two places right. 0.34 = 34%.
- **Percentage → decimal**: shift two places left. 8% = 0.08.

With practice, this becomes automatic and you can move between forms without thinking.

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