146k views
0 votes
If z = 30, use the following proportions to find the value of x. x : y = 3:9 and y : z = 6 : 20.

If z = 30, use the following proportions to find the value of x. x : y = 3:9 and y-example-1

1 Answer

4 votes

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.

User Gabriel Barreto
by
9.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories