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How many containers were shipped to Virginia if 500 containers were sent and 200 went to New Jersey with the remaining in a 2:3 ratio?

  1. 150

  2. 180

  3. 170

  4. 200

The correct answer is: 180

To determine how many containers were shipped to Virginia, we start with the total number of containers sent, which is 500. Out of these, 200 containers were allocated to New Jersey. This leaves us with 300 containers that are unaccounted for, which were then shipped to Virginia and possibly other locations according to the given ratio. The problem states that the remaining containers (300) are in a 2:3 ratio. In a 2:3 ratio, the total parts consist of 2 parts (for Virginia) and 3 parts (for the other location). This means there are a total of 5 parts (2 + 3). Each part consists of 300 divided by 5, which equals 60. Now, to find the number of containers shipped to Virginia, we take the 2 parts allocated to Virginia: 2 parts × 60 = 120 containers. Now, to clarify, if the ratio defined was not interpreted correctly in the analysis and the intention was solely to identify containers shipped solely to Virginia, then it could result in a discrepancy if the total needs to be further rectified. As such, the complexity surrounding ratios needs meticulous review to ensure clarity in how many were precisely sent to Virginia