Weekly Maths Challenge HQ is ordering an enormous number of teabags, to ensure that there is a reliable supply of tea for the foreseeable future. To source this enormous number of teabags, two suppliers were considered.

Terrific Tea said they could supply 12, 096 teabags in n identical boxes of “Tiptop” teabags.

However, Beautiful Beverages said they could supply 23, 625 teabags in n + 8 identical boxes of “Best” teabags.

There are more “Best” teabags in a box than there are in a box of “Tiptop” teabags.

How many boxes of teabags would Beautiful Beverages use to fulfil their order?