SOLUTION: The ratio of apples to oranges is 2:5. After I sell 57 oranges, the ratio is 5:3. How many apples did I start with.

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Question 1117315: The ratio of apples to oranges is 2:5. After I sell 57 oranges, the ratio is 5:3. How many apples did I start with.
Answer by ikleyn(52855) About Me  (Show Source):
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The ratio of apples to oranges is 2:5. After I sell 57 oranges, the ratio highlight%28of_apples_to_oranges%29 is 5:3. How many apples did I start with.
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Originally you have 2x apples and 5x oranges.


After selling, you have this equation


%282x%29%2F%285x+-+57%29 = 5%2F3.


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3*(2x) = (5x-57)*5

6x = 25x - 285

285 = 25x - 6x = 19x  ====>  x = 285%2F19 = 15.


Answer.  You started with 2*15 = 30 apples.

Solved.