Box A contained 64 more buttons than Box B at first. More buttons were added to Box A. For every 1 button added to Box A, 2 buttons were removed from Box B. The number of buttons in Box B then became...

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Extracted text: Box A contained 64 more buttons than Box B at first. More buttons were added to Box A. For every 1 button added to Box A, 2 buttons were removed from Box B. The number of buttons in Box B then became 28 fewer than before. In the end, the ratio of the total number of buttons in both boxes to the number of buttons left in Box B was 4: 1. How many buttons were there in Box A at first?