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If an importer sent 500 containers, 200 went to New Jersey. Given a shipping ratio of 2:3, how many containers were shipped to Pennsylvania?

  1. 100

  2. 120

  3. 140

  4. 160

The correct answer is: 120

To determine how many containers were shipped to Pennsylvania, we first need to analyze the shipping ratio provided, which is 2:3. This ratio suggests that for every 2 containers sent to New Jersey, 3 containers are sent to Pennsylvania. Since it is given that 200 containers went to New Jersey, we can calculate the total parts represented in the shipping ratio. The ratio has a total of 2 + 3 = 5 parts. Now, we can break down the 200 containers that went to New Jersey into these parts. For New Jersey (2 parts), we can find the value of one part by dividing the number of containers sent to New Jersey by 2: 1 part = 200 containers / 2 = 100 containers. Since Pennsylvania corresponds to the remaining 3 parts of the ratio, we can find out how many containers were sent there by multiplying the number of containers in one part by 3: Pennsylvania containers = 100 containers (1 part) * 3 = 300 containers. Next, we need to check our overall total to ensure consistency. The total number of containers should add up to the 500 that were initially sent: 200 (New Jersey) + 300 (Pennsylvania)