At the end of their 3-day vacation, the Palmers traveled a total of 530 miles. On the third day,they drove 75 miles. On the second day,they drove 330 miles. How many miles did they drive the first day? I can only solve this by adding the second, and third days, and subtracting that from the total. Is that correct?

Yes, that's correct.

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Yes, you are on the right track! To find out how many miles the Palmers drove on the first day, you can subtract the total number of miles driven on the second and third days from the total distance traveled during the entire vacation.

Here's the step-by-step calculation:

1. Add the number of miles driven on the second and third days: 330 miles (second day) + 75 miles (third day) = 405 miles.

2. Subtract the total distance traveled during the vacation (530 miles) from the sum of miles driven on the second and third days: 530 miles - 405 miles = 125 miles.

Therefore, the Palmers drove 125 miles on the first day of their vacation.

It's important to note that this method assumes that the Palmers did not drive any additional miles on any other day besides the given second and third days.