Thread: Are there different types of ratios?

1. Are there different types of ratios?

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
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

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
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.

beginning with the multiple being 10 (from the multiple choice selections).

3. Originally Posted by IBstudent

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
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.

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