# Thread: Are there different types of ratios?

1. ## Are there different types of ratios?

There was this question that I got wrong that asked:

The eggs in a certain basket are either white or brown. If the ratio of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT:
10
12
15
30
60

I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
The answer is 12.
So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

BUT how do I know whether the ratio is in the sense that x+y should be divisible by the answer or x/y should be divisible...

I am really looking forward to getting some replies because I am stuck

2. Originally Posted by IBstudent
There was this question that I got wrong that asked:

The eggs in a certain basket are either white or brown.
If the ratio of the number of white eggs to the number of brown eggs is 2/3,
each of the following could be the number of eggs in the basket EXCEPT:
10
12
15
30
60

I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
The answer is 12.
So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

BUT how do I know whether the ratio is in the sense that x+y
Try using the same (meaning: one) variable as I have shown below.

should be divisible by the answer or x/y should be divisible...

I am really looking forward to getting some replies because I am stuck
$\dfrac{white \ \ eggs}{brown \ \ eggs} \ = \ \dfrac{2}{3}$

Suppose you have this:

Let 2x = the number of white eggs

Then 3x = the number of brown eggs

The total number of eggs is 5x.

You care about this total being a positive multiple of 5,
beginning with the multiple being 10 (from the multiple choice selections).

3. Originally Posted by IBstudent
There was this question that I got wrong that asked:

The eggs in a certain basket are either white or brown. If the ratio of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT:
10
12
15
30
60

I answered 10 thinking that 2/3 * (answer) should give an integer. WRONG
The answer is 12.
So the ratio must have been 2 to 3 in the sense that 2+3 is 5 so the answer must be divisible by 5.

BUT how do I know whether the ratio is in the sense that x+y should be divisible by the answer or x/y should be divisible...

I am really looking forward to getting some replies because I am stuck
Your logic and answer would have been correct - if you were looking for # not possible for brown eggs.

#### Posting Permissions

• You may not post new threads
• You may not post replies
• You may not post attachments
• You may not edit your posts
•