You will need 8 drops of blue coloring to mix icing with 4 drops of yellow coloring.
In order to make the icing, you used 2 drops of yellow coloring for every 4 drops of blue coloring.
You need to first find the unit rate of blue coloring to yellow coloring.
= blue coloring required / yellow coloring
= 4 / 2
= 2
This means that for every drop of yellow coloring used, 2 drops of blue is used.
If you are to use 4 drops of yellow, the number of blue drops to use is:
= Number of yellow drops x unit rate
= 4 x 2
= 8 drops of blue coloring
In conclusion, you will need 8 drops of blue coloring for 4 drops of yellow coloring.
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