Question

Given that 3x-y : x+2y = 2 : 5, Determine the ratio x:y

Help please with working becoz I have scholarship exam tomorrow ​

Answer 1

x : y = 9 : 13

Explanation:

Given that

3x - y : x + 2y = 2 : 5

Express the ratio in fractional form, that is

`(3x-y)/(x+2y)` =
`(2)/(5)` ( cross- multiply )

5(3x - y) = 2(x + 2y) ← distribute parenthesis on both sides )

15x - 5y = 2x + 4y ( subtract 2x from both sides )

13x - 5y = 4y ( add 5y to both sides )

13x = 9y ( divide both sides by 13 )

x =
`(9)/(13)` y ( divide both sides by y )

`(x)/(y)` =
`(9)/(13)` , that is

x : y = 9 : 13