Suppose that x quarts of the final mixture of dye will be made. Since it is to be made from equal amounts of orange and green dye, it will consist of 1 over 2x quarts of orange dye and 1 over 2x quarts of green dye. Since the orange dye has 2 parts yellow dye for each 5 parts total dye, 2 over 5 of it is yellow dye. Similarly, 1 over 3 of the green dye is yellow dye. The amount of yellow in the final mixture is given by (2 over 5)(1 over 2)x + (1 over 3)(1 over 2)x = 1 over 5x + 1 over 6x = 11 over 30x quarts
In my defense, only 30% of answerers got this question correct, and it was labeled as "hard." That said, I'm nervous. I thought I'd taken calculus in high school and that would get me out of the pre-calc requirement for the vet tech program. Alas, when I received my transcript, it showed I'd taken trig, and done rather badly at it. (Now that I remember, I used to get into ceaseless arguments with the Russian teacher, because I usually got the right answers, but in a complete bass-ackwards way.) Balls.
It's become worrisome enough that I've started having dreams about it. Last night I was back in college, and couldn't find anything. I had a math class to go to, and while the teacher and classmates were very nice, I'd missed the first class, didn't have the book and was so tired I couldn't concentrate at all. Then I proceeded to wander around campus in what seemed to be a partially-open hospital gown, revealing my ass to all, unable to figure out where I was supposed to be going or where any of my friends were at lunchtime. Curiously, however, it wasn't all panic and exhaustion. I was actually still fairly happy to be blundering about at school, and particularly happy that I'd been assigned a small room to myself with a bed and desk in it in a dorm, where I could nap and study to my heart's content. Strange.
Of course, when I go back to school, I won't have such a room. But I doubt I'll be wearing an actual hospital gown, either.
And the good news is, I still do quite well on the verbal questions. Haven't missed one yet.
Lord, I am in for a change...