Information is complete

Suppose that you went to Monoprix because you needed many eggs and many apples to do a big quantity of muffins for a party. The eggs costed D Qatar Riyal each (where D is the day of your birth from 1 to 31) and the apples costed M Qatar Riyal each (where M is the month of your birth from 1 to 12). a) Supposing that the total bill was Y QR ( where Y is your birth year) how many eggs and how many apples you may have bought? Find all possible combinations and motivate your answer, and use the theoretical tools about divisibility. First of all, check that a solution exists: in case you cannot find a solution, it means that the bill is wrong. In that case, you are allowed to slightly adjust it. How do you adjust it? Find again the solutions. b) Once you find that your bill Y is correct, can you find a solution also for Y+1 ? Why? c) Finally, between the various possible combinations, find the one where the number of apples and the number of eggs is identical or very close. Suppose that you went to Monoprix because you needed many eggs and many apples to do a big quantity of muffins for a party. The eggs costed D Qatar Riyal each (where D is the day of your birth from 1 to 31) and the apples costed M Qatar Riyal each (where M is the month of your birth from 1 to 12). a) Supposing that the total bill was Y QR ( where Y is your birth year) how many eggs and how many apples you may have bought? Find all possible combinations and motivate your answer, and use the theoretical tools about divisibility. First of all, check that a solution exists: in case you cannot find a solution, it means that the bill is wrong. In that case, you are allowed to slightly adjust it. How do you adjust it? Find again the solutions. b) Once you find that your bill Y is correct, can you find a solution also for Y+1 ? Why? c) Finally, between the various possible combinations, find the one where the number of apples and the number of eggs is identical or very close