SOLUTION: Lala can arrange her stamps 3, 5, or 8 to a page without any stamps left over. If she arranges her stamps 11 to a page, there are 7 stamps left over. At least how many stamps does

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Question 1017117: Lala can arrange her stamps 3, 5, or 8 to a page without any stamps left over. If she arranges her stamps 11 to a page, there are 7 stamps left over. At least how many stamps does Lala have?
Answer by ikleyn(52790) About Me  (Show Source):
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Lala can arrange her stamps 3, 5, or 8 to a page without any stamps left over. If she arranges her stamps 11 to a page,
there are 7 stamps left over. At least how many stamps does Lala have?
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First part of the condition means that the number of stamps Lala has is multiple of 3*5*8 = 120.

The second part means that we need to find the multiple of 120, which leaves the remainder 7 when is divided by 11.

I found that 120*4 leaves the remainder 7 when it is divided by 11.

Answer. 480 stamps.