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Question
If 5x + 6y : 8x + 5y = 8 : 9, find x : y.
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Solution
5x + 6y : 8x + 5y = 8 : 9
`(5x + 6y)/(8x + 5y) = 8/9`
9(5x + 6y) = 8(8x + 5y)
45x + 54y = 64x + 40y
64x – 45x = 54y – 40y
19x = 14y
`x/y = 14/19`
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