Folks... help me out here.... PLEASE!!!

To visualize a clear solution, biochemists sometimes add a blue dye to the solution. The dye is purchased as a 6X solution. In preparing a sample for analysis you need to add enough of the 6X dye solution so that the final dye’s final concentration is 1X. How many μL of the 6X dye solution and how many μL of water must you add to 5 μL of your sample if the total volume is to be 24 μL?

Question

Folks... help me out here.... PLEASE!!!

To visualize a clear solution, biochemists sometimes add a blue dye to the solution. The dye is purchased as a 6X solution. In preparing a sample for analysis you need to add enough of the 6X dye solution so that the final dye’s final concentration is 1X. How many μL of the 6X dye solution and how many μL of water must you add to 5 μL of your sample if the total volume is to be 24 μL?

anonymous · Answer

So we want to get from 6x to 1x concentration with a total volume of 24uL, which is a 1:6 dilution.
Time to make a ratio
(1x/6x)*24ul
= 4uL
thus we add 4 micro liters 

To find the amount of water it is simple addition, 
24uL - 5uL of sample - 4uL of Dye
= 15uL of water
must be added

therefore to do this add 4uL of dye, 15ul of water and 5uL of sample and you are done