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In a total of 1,500 packages with a ratio of 2:3 for legal to illegal stickers, how many packages contained illegal stickers?

  1. 1,000

  2. 900

  3. 600

  4. 500

The correct answer is: 900

To determine how many packages contained illegal stickers, we start by understanding the ratio provided, which is 2:3 for legal to illegal stickers. This implies that for every 2 legal stickers, there are 3 illegal stickers. First, we add the parts of the ratio together: 2 (legal) + 3 (illegal) = 5 parts in total. The total number of packages is given as 1,500. We can find the value of one part by dividing the total number of packages by the number of parts: 1,500 packages ÷ 5 parts = 300 packages per part. Next, to find out how many packages contained illegal stickers, we multiply the number of illegal parts (3) by the number of packages per part: 3 parts (illegal) × 300 packages = 900 packages. Therefore, the number of packages that contained illegal stickers is 900. This calculation aligns with the correct understanding of ratios and how they can be applied to find specific quantities within a total.