SOLUTION: one canned juice drink is 20% orange juice; another is 5% orange juice. how many liters of each should be mixed together in order to get 15L that is 13% orange juice?

Algebra ->  Equations -> SOLUTION: one canned juice drink is 20% orange juice; another is 5% orange juice. how many liters of each should be mixed together in order to get 15L that is 13% orange juice?      Log On


   



Question 373047: one canned juice drink is 20% orange juice; another is 5% orange juice. how many liters of each should be mixed together in order to get 15L that is 13% orange juice?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = liters of 20% oj needed
Let b = liters of 5% oj needed
given:
(1) a+%2B+b+=+15
(2) %28.2a+%2B+.05b%29%2F15+=+.13
-------------------------------------
From (2):
(2) .2a+%2B+.05b+=+1.95
(2) 20a+%2B+5b+=+195
Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) 20a+%2B+5b+=+195
(1) -5a+-+5b+=+-75
15a+=+120
a+=+8
And, from (1),
8+%2B+b+=+15
b+=+7
8 liters of 20% oj and 7 liters of 5% oj are needed
check the answer:
(2) %28.2a+%2B+.05b%29%2F15+=+.13
%28.2%2A8+%2B+.05%2A7%29%2F15+=+.13
%281.6+%2B+.35%29%2F15+=+.13
1.95%2F15+=+.13
1.95+=+1.95
OK