ill give a medal . And its multiple choice. Annika mixed red and blue color candies. Annika bought 8 pounds of red color candies for $22. The cost per pound for blue color candies is 48% more than the cost per pound red color candies. Annika bought enough blue color candies that, when she mixed them with the red color candies, the mixture had a value of $3.21 per pound. Approximately what percent of the mixture, by weight, was blue color candies? 47% 65% 28% 35%
what a drag of a word problem i am sure we can do it though
8 pound for $22 what is the price per pound?
2.75
ok good now lets get the price of the blue candies. what is 48% more than \(2.75\) ?
i dont know ??
oh ok lets find that there are two ways to do it one is to compute 48% of \(2.75\) via \(27.5\times .4\) and add it to \(2.75\) or an easier method with a calculator is to multiply \[2.75\times 1.48\]
thats 4.07
ok now we are in the home stretch
right..
Whats a home stretch ?
i guess it is a horse racing analogy coming down to the finish line, aka almost done
Oh haha okay .
we got 8 pounds in red, lets say \(x\) in blue, for a total of \[8+x\] and a value \(3.21(8+x)\) which we also know is \[22+4.07x\]
set \[3.21(8+x)=22+4.07x\] and solve for \(x\)
or clear the decimal and solve \[321(8+x)=2200+407x\]
it says "approximate" so lets call it \(4.3\) pounds http://www.wolframalpha.com/input/?i=321%288%2Bx%29%3D2200%2B407x
and finally to answer as a percent compute \[\frac{4.3}{8+4.3}\]
i hope one answer is \(35\%\)
it is ! omg . thank you but where did 35 come from i got like 427. something percent!!
did you compute \[4.3\div 12.3\]?
oh no . My bad
the total number of pound approx is \(8+4.3=12.3\) and the total blue was \(4.3\) the the percent is \(4.3\div 12.3\) after you make that decimal in to a percent by moving the decimal place over i just did this http://www.wolframalpha.com/input/?i=4.3%2F%288%2B4.3%29
clear now though right?
Yes . thank you so much .
yw, my pleasure
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