SOLUTION: One canned juice drink is 30% orange juice; another is 5% orange Juice. How many liters of each should be mixed together in order to get 25L that is 15% orange juice? 30% 5%

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Question 373879: One canned juice drink is 30% orange juice; another is 5% orange Juice. How many liters of each should be mixed together in order to get 25L that is 15% orange juice?
30%
5%

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(juice)/(total solution) = 15%
Let a = liters of 30% of needed
Let b = liters of 5% of needed
given:
(1) +a+%2B+b+=+25
.3a+%2B+.05b = juice in 30% and 5% oj
---------------
%28.3a+%2B+.05b%29%2F25+=+.15
.3a+%2B+.05b+=+3.75
(2) 30a+%2B+5b+=+375
Multiply both sides of (1) by 5
and subtract from (2)
(2) 30a+%2B+5b+=+375
(1) +-5a+-+5b+=+-125
25a+=+250
a+=+10
and, since
a+%2B+b+=+25
b+=+25+-+10
b+=+15
10 liters of 30% oj and 15 liters
of 5% oj are needed