Understanding Proportions in Dye Mixtures

  • Context: High School 
  • Thread starter Thread starter Mag|cK
  • Start date Start date
  • Tags Tags
    Sat Sat math
Click For Summary
SUMMARY

The discussion centers on calculating the proportion of yellow dye in a mixture of orange and green dyes. The orange dye consists of 3 parts red and 2 parts yellow, while the green dye consists of 2 parts blue and 1 part yellow. When equal amounts of both dyes are mixed, the correct proportion of yellow dye in the resulting mixture is 11/30, contrary to the initial claim of 3/8. The explanation provided in the referenced College Board link is validated as accurate.

PREREQUISITES
  • Understanding of basic proportions and ratios
  • Knowledge of dye mixing techniques
  • Familiarity with color theory in art and design
  • Ability to perform fractional calculations
NEXT STEPS
  • Study the principles of mixing colors in art and design
  • Learn about calculating proportions in mixtures
  • Explore advanced topics in ratio and proportion mathematics
  • Review dye chemistry and its applications in various industries
USEFUL FOR

This discussion is beneficial for artists, designers, chemists, and educators involved in color theory, dye production, and mathematical applications in real-world scenarios.

Mag|cK
Messages
36
Reaction score
0
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
 
Mathematics news on Phys.org
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.
 

Similar threads

Undergrad The physics behind mixing coloured pigments (questions inside post)
  • · Replies 4 ·
Replies
4
Views
3K
Undergrad Why does mixing blue and yellow create green?
  • · Replies 3 ·
Replies
3
Views
2K
High School Question about Primary Colors -- Why Red-Green-Blue?
  • · Replies 6 ·
Replies
6
Views
3K
High School Really simple mistake in this combinatorics problem?
  • · Replies 19 ·
Replies
19
Views
4K
High School Understanding Time in a Moving Frame: Observer's Experiment with Egg Timers
  • · Replies 33 ·
2
Replies
33
Views
3K
Challenge Ready for a Summer Math Challenge?
  • · Replies 62 ·
3
Replies
62
Views
12K
Questions about diodes, relativity, radiations
  • · Replies 1 ·
Replies
1
Views
5K
Graduate Color\Light efficiency in imaging systems
  • · Replies 3 ·
Replies
3
Views
2K
I want to check that my solution is correct for multinomial probability.
  • · Replies 2 ·
Replies
2
Views
9K
Graduate Can You Truly Create Green Using Red, Yellow, and Blue?
  • · Replies 2 ·
Replies
2
Views
4K