Question

Given 6(y+3) = 2(x+9) find the ration of x to y?

Answer 1

First, distribute the 6 on the left side and the 2 on the right side.
Can you do that and show it?

Answer 2

6y +18 = 2x + 18

Answer 3

Great.
Now subtract 18 from both sides.

Answer 4

6y = 2x?

Answer 5

Correct.
You have 6y = 2x which is the same as
2x = 6y

Answer 6

You want
x/y = something

Answer 7

Now divide both sides by 2 starting with 2x = 6y

Answer 8

2x/6y + 1:3?

Answer 9

= I mean

Answer 10

Do what I wrote above.
Start with 2x = 6y and divide both sides by 2.

Answer 11

1x= 3y

Answer 12

Great. Almost there.
Since we want x/y on the left side, now just divide both sides by y.

Answer 13

1x/y = 3?

Answer 14

Yes.
1x/y is simply x/y, so you can just write x/y on the left side.
The right side is simply 3. Since you are trying to write what ratio the left side is equal to, you can write the right side as 3/1 since 3 = 3/1
Then you have:
x/y = 3/1
In other words, the ratio of x to y is 3 to 1.

Answer 15

Thank you. :)

Answer 16

You're welcome.