SOLUTION: one drink is 30% juice and another is 10% juice,how many liters of each should be mixed together in order to get 20L that is 27% juice?

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Question 732804: one drink is 30% juice and another is 10% juice,how many liters of each should be mixed together in order to get 20L that is 27% juice?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
one mixture is H% of a component and another is L% of the component. How many liters of each should be mixed together in order to get M Liters that is T% of the component?

That is the same as your problem but is in much more generalized form and is the same as many, many, many such problems.

EQUATIONS TO FORM A SYSTEM:
u = liters for the L% material, UNKNOWN to find
v = liters for the H% material, UNKNOWN to find
L = percentage concentration of component, the lower concentrated mixture
H = percentage concentration of the component, the higher concentrated mixture
T = percentage wanted for the mixture to make
M = the volume (in liters) for the mixture to make

highlight%28%28Lu%2BHv%29%2FM=T%29 and highlight%28u%2Bv=M%29
Solve the system for u and v.

VALUES FOR SOLUTION COMPUTATION
Subtitute the given values into the found formulas for u and v and compute results.