Answer: The new ratio of blue to yellow dye in its simplest form is 8/5.
Explanation:
Blue and yellow dyes are mixed in an 8: 3 ratio to make 44 liters of a green-colored dye. A further 8 liters of yellow dye are added to the mixture. What is the new ratio of blue to yellow dye in its simplest form?
What is the Ratio?
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Calculating the fraction of blue and yellow in the green dye,
Blue dye = 8/(3+8) * 44
Blue dye = 8/11 * 44
Blue dye = 32 liters
Similarly,
yellow dye = 3/11*44
yellow dye = 12
Now
Blue dye + yellow dye = 32+12 = 44
Now yellow dye is increased by 8 liters
the new volume fraction of yellow dye = 12+8
= 20
a fraction of blue dye remains the same,
the ratio of blue dye to new yellow dye in teal color.
= 32/20
=8/5
Thus, the new ratio of blue to yellow dye in its simplest form is 8/5.