# Homework Help: Ratio Word Problem

1. Mar 7, 2005

### homegrown898

An appliance store sells only two brands of refigerator. The ratio of the number of brand X refigerators sold at this store to the number of Brand Y refigerators sold is about 4 to 11. Of the next 100 refigerators the store sells, approximately how many will be brand Y?

I don't know how to start this one.

I wrote 100 = 4x + 11y

However, I don't know how to solve a two variable equation.

Last edited: Mar 7, 2005
2. Mar 7, 2005

### dextercioby

It is a perfectly sound 2 variable problem.U'll just to translate into equations whatever data the problem gives you.

So if "x" and "y" are the 2 variables which denote the # of refrigerators sold,what are the 2 relations between them that the problem gives...?

Daniel.

3. Mar 7, 2005

### homegrown898

That for every 4 of the X Brand, there are 11 of the Y Brand sold?

4. Mar 7, 2005

### dextercioby

That's one of them,of course.In elegant mathematical notation
$$\frac{x}{y}=\frac{4}{11}$$

What's the other (obvious one) ...?

Daniel.

5. Mar 7, 2005

### homegrown898

That in 100 refigerators are sold between the two?

Or with the problem you gave me I cross multiplied which gave me 4y = 11x

I'm not so sure.

6. Mar 7, 2005

### dextercioby

The problem says and i quote:"The ratio of the number of brand X refigerators sold at this store to the number of Brand Y refigerators sold is about 4 to 11".How would you transcribe that in math language...?

And yes,the sum is 100:
$$x+y=100$$

Daniel.

7. Mar 7, 2005

### homegrown898

I would say that for every 4 brand X refigerators, there are 11 Brand Y refigerators sold.

8. Mar 7, 2005

### dextercioby

Yes,which is described in the ratio that i wrote.

Daniel.