SOLUTION: A fruit punch that contains 25% fruit juice is combined with a fruit drink that contains 10% fruit juice? How many ounces of each should be used to make a 48oz of a mixture that is

Question 104402: A fruit punch that contains 25% fruit juice is combined with a fruit drink that contains 10% fruit juice? How many ounces of each should be used to make a 48oz of a mixture that is 15% fruit juice
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A fruit punch that contains 25% fruit juice is combined with a fruit drink that contains 10% fruit juice? How many ounces of each should be used to make a 48oz of a mixture that is 15% fruit juice
-----------------
25% juice DATA:
Let x be amount of 25% juice: amt. of active ingredient = 0.25x ounces
----------------
10% juice DATA:
Amt of 10% juice is "48-x" ; amt of active is 0.10(48-x)=4.8-0.1x ounces
---------------------
15% mixture DATA:
Amt = 48 ounces ; amt of active is 0.15(48) = 7.2 ounces
------------------------
EQUATION:
active + active = 7.2 ounces
0.25x + 4.8-0.1x = 7.2
0.15x = 2.4
x = 16 ounces ( amt of 25% juice that must be added)
48-x = 32 ounces (amt of 10% juice that must be added)
======================
Cheers,
Stan H.
RELATED QUESTIONS
How many ounces of pure cranberry juice and how many ounces of a citrus fruit drink... (answered by josgarithmetic)

2L of a party punch that contains 35% fruit juice is mixed with 3L of another punch. The... (answered by josgarithmetic)

One drink contains 5% fruit juice and another contains 50% fruit juice. How many gallons... (answered by josgarithmetic)

One drink contains 5% fruit juice and another contains 50% fruit juice. How many gallons... (answered by ikleyn)

Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter... (answered by Mathtut)

Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter... (answered by mananth,richwmiller)

Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2 liter... (answered by Fombitz)

Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter... (answered by robertb)

Lisa will make punch that is 25% fruit juice by adding pure fruit juice to a 2-liter... (answered by alicealc)