You need to make a common denominator
Red=\(\frac{4}{12}\)
Blue=\(\frac{3}{12}\)
White=\(\frac{5}{12}\)
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Batch 1:
\(2 \frac{1}{2} = \frac{5}{2}\)
You need to make a common denominator with the white colors
\(\frac{5}{2} * \frac{6}{6} = \frac{30}{12}\)
\(\frac{30}{12} = \frac{5}{12} x\)
5×6=30
\(\frac{30}{12} = 2\frac{1}{2}\)
so for every one 1/12 once, there is six ounces
You do the same for red by multiplying 6 by the numerator
\(6* \frac{4}{12} = \frac{24}{12} =2\)
Same for blue
\(6*\frac{3}{12}\)\(= \frac{18}{12} =1 \frac{1}{2}\)
Answer:
White=\(2 \frac{1}{2}\)
Blue=\(1 \frac{1}{2}\)
Red=2
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Batch 2:
You use the same process as before
For blue
\(2 \frac{1}{4} = \frac{9}{4}\)
\(\frac{9}{4} * \frac{3}{3} = \frac{27}{12}\)
\(\frac{27}{12} = \frac{3}{12} x\)
\(3*9=27\)
For every 1/12, there is 9
For red,
Multiply 9 by the numerator of the colors
\(\frac{4}{12} *9= \frac{36}{12} =3\)
For white,
\(\frac{5}{12} *9= \frac{45}{12} = 3\frac{3}{4}\)
Answer:
Blue=\(2 \frac{1}{4}\)
Red=\(3\)
White=\(3 \frac{3}{4}\)
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Batch 3:
Same process as before
Red,
\(3 \frac{1}{3} = \frac{10}{3}\)
\(\frac{10}{3} * \frac{4}{4} = \frac{40}{12}\)
\(\frac{40}{12} = \frac{4}{12} x\)
\(4*10=40\)
So for every 1/12, you multiply by 10
for blue,
\(\frac{3}{12} *10= \frac{30}{12} =2 \frac{1}{2}\)
for white,
\(\frac{5}{12} *10= \frac{50}{12} =4 \frac{1}{6}\)
Answers:
Red= \(3 \frac{1}{3}\)
Blue=\(2\frac{1}{2}\)
White=\(4\frac{1}{6}\)
Remember all of this is in ounces
