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Please proofread these sentence for me:

1. I spoke to the travel agent and she said that if I leave a day later there would be no penalty fees because of the ticket I had purchased.

I spoke to the travel agent and she said that if I leave a day later there will be no penalty fees because of the ticket I had purchased.

Are both sentences okay? Please explain your corrections.

2. I just called Southwest Airlines and they told me that if I return on the 21st of May, there would be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

I just called Southwest Airlines and they told me that if I return on the 21st of May, there will be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

Are these sentences ok? Please explain your corrections. Much thanks!
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will and would are chosen on the basis of the verb tense in the if clause.

I spoke to the travel agent and she said that if I leave a day later there will/would be no penalty fees because of the ticket I had purchased.

I spoke to the travel agent and she said that if I left a day later there will/would be no penalty fees because of the ticket I had purchased.

I just called Southwest Airlines and they told me that if I return on the 21st of May, there will/would be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

I just called Southwest Airlines and they told me that if I returned on the 21st of May, there will/would be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

CJ
Comments  
CalifJimI just called Southwest Airlines and they told me that if I return on the 21st of May, there will/would be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

I just called Southwest Airlines and they told me that if I returned on the 21st of May, there will/would be no extra penalty fee or fare difference, so I've decided to leave on the 21st of May.

Hi CJ,

But is there really that much of a difference between the two sentences? Both sentences basically imply that there's a possibility of me leaving on May 21st...It's just that the second sentence makes the unknown a little more evident, right?