Question

What percent of 6y is 24?

Answer 1

All real percents.

Explanation:

This is because dividing by 6 on both sides means that the question is asking you what percent of y is 4. 4 could be any number at all, meaning that this problem has an answer of all real percents.

Answer 2

`(6y)/24 xx100 %`

As `y` is not known a specific value can not be calculated.

Answer 3

I am guessing you mean:

Given that `6y=24` what is the value of `y`

`y=4`

Explanation:

See my solution https://socratic.org/s/aNMtTj62
where I have explained what percentage is.

`color(blue)("Answering what I think you mean in the question")`

`color(purple)("Using first principles to explain what is happening")`

`color(purple)("Shortcut methods are just remembering what happens")` `color(purple)("in first principles")`

Given: `6y=24`

We need to get rid of the 6 from `6y`. We can do this by changing it to 1 as `1xxy` is just `y`

Divide both sides of the = by `color(red)(6)`

`color(green)(6y=24color(white)("dddd")->color(white)("dddd")6/color(red)(6)y=24/color(red)(6))`

but `6/6=1`

`color(green)(color(white)("dddddddddd")->color(white)("dddd")1xxy=4`

`color(green)(color(white)("dddddddddd")->color(white)("ddddddd")y=4`