SOLUTION: How many ounces of pure apple juice must be added to 16 ounces of 25% apple juice to make a 40 % apple juice drink?

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Question 838875: How many ounces of pure apple juice must be added to 16 ounces of 25% apple juice to make a 40 % apple juice drink?
Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
16 ounces is a quantity of WEIGHT, roughly equivalent to a quantity of MASS but not really the same.

v = how many ounces of pure apple juice to use

%2825%2A16%2B100v%29%2F%28v%2B16%29=40
Solve for v.



http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of pure apple juice to be added
+.25%2A16+=+4+ ounces of pure apple juice in 25% mixture
---------------------
+%28+4+%2B+x+%29+%2F+%28+16+%2B+x+%29+=+.4+
+4+%2B+x+=+.4%2A%28+16+%2B+x+%29+
+4+%2B+x+=+6.4+%2B+.4x+
+.6x+=+2.4+
+x+=+4+
4 ounces of pure apple juice must be added
check:
+%28+4+%2B+x+%29+%2F+%28+16+%2B+x+%29+=+.4+
+%28+4+%2B+4+%29+%2F+%28+16+%2B+4+%29+=+.4+
+8%2F20+=+.4+
+8+=+8+
OK