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# If X: Y = 4: 7, Find the Value of (3x + 2y): (5x + Y). - Mathematics

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#### Question

If x: y = 4: 7, find the value of (3x + 2y): (5x + y).

#### Solution

x : y = 4 : 7

=> x/y = 4/7

(3x + 2y)/(5x + y) = (3(x/y) + 2)/(5(x/y) + 1)      (Dividing each term by y)

= (3(4/7) + 2)/(5(4/7) + 1)

= (12/7 + 2)/(20/7 +1)

= (12 + 14)/(20 + 7)

= 26/27

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