Border Patrol Practice Exam

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What is the total number of packages if the ratio of legal to illegal stickers is 2:3 and there are 1,500 packages in total?

600
900
500
1,000

The correct answer is: 900

To find the total number of packages represented by the given ratio of legal to illegal stickers, we start by setting up the ratio. The ratio of legal to illegal stickers is stated as 2:3. This means that for every 2 legal stickers, there are 3 illegal stickers, totaling 5 parts (2 + 3 = 5). Since there are 1,500 packages in total, we can determine the number of packages corresponding to each part of the ratio. Since the total of 5 parts represents the complete set of packages, we can divide the total number of packages by the total ratio parts: 1,500 packages ÷ 5 parts = 300 packages per part. Now, to find out how many packages are related to the illegal stickers (which are represented by the 3 parts of the ratio), we multiply the number of packages per part by the parts dedicated to the illegal stickers: 3 parts × 300 packages per part = 900 packages. This calculation shows that out of the 1,500 total packages, 900 packages correspond to the illegal stickers, illustrating that the rationale applied to the ratio is correct and confirms the answer.