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# Help me on this question

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Conrad had some blueberry tarts and kiwi tarts. After selling $${5 \over 6}{}{}$$of his blueberry tarts and $${3\over 7}{}{}$$of his kiwi tarts, he had the same number of blueberry tarts and kiwi tarts left. Find the ratio of the number of blueberry tarts to the number of kiwi tarts Conrad had at first?

Aug 20, 2021

Let b be the number of blueberry tarts, and k be the number of kiwi tarts (at first). $${1 \over 6}b = {4 \over 7}k$$, so $$7b = 24k$$, so $$b = {24 \over 7} k$$, so $${b \over k} = {24 \over 7}$$.