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Add up the ratio first. (5:4 = 5 + 4 = 9 parts total.)

Then divide the sum of the ratio by the total amount of orange dye. (2.7 ÷ 9 = 0.3 = 1 part.)

Now that we know what 1 part of the ratio is, we multiply 0.3 (1 part) by 4 (because yellow makes up 4 parts of the 5:4 ratio) = 1.2 liters.

The volume of yellow dye used = 1.2 liters. 

Answer: the volume of yellow dye used is 1.2 liters  

Step by step explanation:  

Red dye and yellow dye in the ratio 5:4

Orange dye = 2.7 liters  

What is the volume of yellow dye used = ?

Total number = 5+4  

Total ratio = 9

Orange dye / total number of ratio  

= 2.7/ 9  

= 0.3

Ratio of yellow dye used = 4

0.3 * 4 = 1.2 liters