Question

Yo help i dont get this at all pls

Answer 1

`x~~ : ~~(x+5)~~ = ~~4~~ : ~~5\qquad \implies \qquad \cfrac{x}{x+5}=\cfrac{4}{5} \\\\\\ 5x=4x+20 \implies x=20`

Answer 2

x = 20

Explanation:

You want to find the value of x that makes this true:

x : (x +5) = 4 : 5

Differences

You can often solve ratio questions by looking at the differences between the parts:

(x +5) - (x) = 5 . . . . . . left ratio

(5) - (4) = 1 . . . . . . . . . right ratio

This means you can get the same difference by multiplying the right ratio by 5:

x : (x +5) = 4·5 : 5·5

x : (x +5) = 20 : 25

Now, it is easy to see that x = 20.

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