<p>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 fraction of the new mixture is yellow dye?</p>
<p>I have absolutely no idea how to solve this...</p>
<p>orange = 3 red + 2 yellow = 5 parts
green = 2 blue + 1 yellow = 3 parts </p>
<p>when equal amounts are mixed, you need a common base - use lowest common multiple. 15 in this case</p>
<p>9 red + 6 yellow = 15
10 blue + 5 yellow = 15</p>
<p>yellow/ total parts= 11/30</p>
<p>11/30! I got it right! </p>
<p>Orange: Red(3) and Yellow (2)----total 5 parts</p>
<p>Green: Blue (2) and Yellow (1)—total 3 parts</p>
<p>Now, plug-in some number which is divisible by both 5 and 3. I took 15. </p>
<p>Orange: Red(9) and Yellow(6) </p>
<p>Green: Blue(10) and Yellow (5)</p>
<p>What part of a new substance is Yellow?</p>
<p>(total number of yellow parts)/(number of all parts)=6+5/15+15=11/30</p>
<p>That’s real easy man, I didn’t even bother making calculations when I solved it.
orange= 2/5 is yellow
green= 1/3 is yellow
In the question he said “equal amounts of green and orange are mixed”</p>
<p>that means the denominator has to be something divisible by 5 and 3 and if I remember correctly 30 was the only one divisible by both.</p>