Understanding Proportions in Dye Mixtures

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To create an orange dye, a mixture of 3 parts red and 2 parts yellow is used, while a green dye consists of 2 parts blue and 1 part yellow. When equal amounts of green and orange dyes are combined, the resulting proportion of yellow dye is calculated to be 11/30. The initial claim of 3/8 as the proportion of yellow dye is incorrect. The explanation provided in the linked resource is accurate and clarifies the reasoning behind the correct answer. Understanding the proportions in dye mixtures is essential for achieving the desired color outcomes.
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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
 
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Mag|cK said:
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.
 
haha. i get it now. thx.
 
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