Question

If z = 30, use the following proportions to find the value of x. x : y = 3:9 and y : z = 6 : 20.

Answer 1

We are given the following proportions:

`\begin{gathered} x:y=3:9 \\ y:z=6:20 \end{gathered}`

The second proportion is equivalent to:

`(y)/(z)=(6)/(20)`

Now, we substitute the value of "z":

`(y)/(30)=(6)/(20)`

Now, we multiply both sides by 30:

`y=30*(6)/(20)`

Solving the operation we get:

`y=9`

Now, since we have the value of "y" we can use the first proportion to get the value of "x":

`x_:y=3:9`

This is equivalent to:

`(x)/(y)=(3)/(9)`

Now, we substitute the value of "y":

`(x)/(9)=(3)/(9)`

Now, we multiply both sides by 9:

`x=9*(3)/(9)`

Solving the operations:

`x=3`

Therefore, the value of "x" is 3.