Christopher is 4 times as old as Michael. Ten years ago, Christopher was 9 times as old as Michael.How old is Christopher now?

- anonymous

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- anonymous

Are you able to turn the sentence into an equation?

- anonymous

yeah

- anonymous

i think that is what im supposed to do, but im having trouble setting it up

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## More answers

- anonymous

Okay, no problem. Do you have a guess as to how you would start?

- anonymous

4x-10 is this one side of the equation?

- anonymous

Can you write an equation for right now? Let's say time = 0 right now.

- anonymous

yeah

- anonymous

Use C and M for your variables.

- anonymous

okay but how would i set it up?

- anonymous

"Christopher is 4 times as old as Michael." Write that algebraically.

- anonymous

4m ?

- anonymous

What is 4M?

- anonymous

4 times michaels age

- anonymous

4 * M

- anonymous

Right. But you need an equals sign and something on the other side. For example, if steak is 10 times heavier than rice, steak = 10 * rice, which as a formula would be S = 10R

- anonymous

So how would you write a formula for "Christopher is 4 times as old as Michael?"

- anonymous

4m=10(4x-9) ? i have no idea ._.

- anonymous

That's okay. Not to worry. It's C = 4M

- anonymous

Does that make sense?

- anonymous

That is a perfectly valid statement for right now. Now, the tougher part, you need to write a formula for 10 years ago.

- anonymous

oh okay i know that 10 has to be outside the parenthesis

- anonymous

no wait..

- anonymous

does 9 go outside?

- anonymous

because it says 9 times as old as Christopher

- anonymous

On the side where parentheses matter, the 10 will actually need to go inside.
You need to write an equation for the second statement which uses the variables for their current ages. That might sound complex, but it's as simple as:
My current age might be x.
I can say that 10 years ago, my age was x - 10. It doesn't matter what x represents; x - 10 is valid no matter what.

- anonymous

ohhh

- anonymous

Yes, right! The 9 goes outside.

- anonymous

okay so it would be 9(x-10) ?

- anonymous

Yes! But what is x?

- anonymous

i mean c. im using x instead of c

- anonymous

Remember, you need an equal sign, and stuff on both sides of it.

- anonymous

Okay, we can use x instead of C. But then what are we using instead of M?

- anonymous

Remember, for now, we are keeping their ages separate.

- anonymous

i guess we can use y or m but i like x instead of c

- anonymous

Sure. Okay, so in the formula I gave before, x = 4y
Chris (x) is 4 times older than Michael (y) right now.

- anonymous

So now, we need to do our "10 years ago" formula.

- anonymous

would it be the one i mentioned before?

- anonymous

Yes, but you used x. It should be y.

- anonymous

And you need your full formula.

- anonymous

But you're doing great.

- anonymous

@sws._. Mention me if you feel like continuing. I'd like to help you learn this so you can do your other 11 questions.

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