SOLUTION: Juice-O-Rama is a refreshment stand specializing in a fruit drink mixture of orange juice and prune juice. The orange juice costs $1.20 per liter and the prune juice costs $1.40 pe

Question 622586: Juice-O-Rama is a refreshment stand specializing in a fruit drink mixture of orange juice and prune juice. The orange juice costs $1.20 per liter and the prune juice costs $1.40 per liter. If they need 8 liters of the final drink at a cost of $1.24 per liter, how many liters of each juice will they need to make their specialty drink?
This is the work i've done, i need help.
x=the number of liters of orange juice
y=the number of liters of prune juice
x+y=8
1.20x+1.40y=1.24
20(8-y)+1.40y=1.24
1.20(9.4)=1.24
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Note that is the total cost of
the o.j. and p.j. used.
So you need to divide this by total liters needed
to get the cost/liter
(1)
and the other equation is:
(2)
----------------
(1)
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
(2)
6.4 liters of OJ and 1.6 liters of PJ are needed
-------------
check answer:
(1)
(1)
(1)
(1)
(1)
OK
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