Understanding Proportions in Dye Mixtures

[Mag|cK]

To make an orange dye, 3 parts of red dye are mixed with 2 parts of yellow dye. To make a green dye, 2 parts of blue dye are mixed with 1 part of yellow dye. If equal amounts of green and orange are mixed, what is the proportion of yellow dye in the new mixture?

This is not a homework question btw. My answer is 3/8. Yet the correct answer is 11/30. Can anyone explain why?

I don't agree with the explanation here:
http://apps.collegeboard.com/qotd/explain.do?questionId=432&src=E

 

[ice109]

To make an orange dye, 3 parts of red dye are mixed with 2 parts of yellow dye. To make a green dye, 2 parts of blue dye are mixed with 1 part of yellow dye. If equal amounts of green and orange are mixed, what is the proportion of yellow dye in the new mixture?

This is not a homework question btw. My answer is 3/8. Yet the correct answer is 11/30. Can anyone explain why?

I don't agree with the explanation here:
http://apps.collegeboard.com/qotd/explain.do?questionId=432&src=E

lol why would you not agree with it? it's correct and good reasoning.

 

[Mag|cK]

haha. i get it now. thx.