SOLUTION: How many ounces of chocolate tha tis 60% coca should be mixed with 4 oz of chocolate that is 80% to produce a mixture that is75% cocoa?

Algebra ->  Linear-equations -> SOLUTION: How many ounces of chocolate tha tis 60% coca should be mixed with 4 oz of chocolate that is 80% to produce a mixture that is75% cocoa?      Log On


   



Question 958740: How many ounces of chocolate tha tis 60% coca should be mixed with 4 oz of chocolate that is 80% to produce a mixture that is75% cocoa?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ounces of 60% chocolate needed
+.6x+ = ounces of cocoa in 60% mixture
+.8%2A4+=+3.2+ ounces in 80% chocolate
-----------------
+%28+.6x+%2B+3.2+%29+%2F+%28+x+%2B+4+%29+=+.75+
+.6x+%2B+3.2+=+.75%2A%28+x+%2B+4+%29+
+.6x+%2B+3.2++=+.75x+%2B+3+
+.15x+=+.2+
+x+=+1.333+
1.333 ounces of 60% chocolate are needed
check:
+%28+.6%2A1.333+%2B+3.2+%29+%2F+%28+1.333+%2B+4+%29+=+.75+
+%28+.8+%2B+3.2+%29+%2F+%28+5.333+%29+=+.75+
+4+%2F+%28+16%2F3+%29+=+3%2F4+
+%28+3%2F16+%29%2A4+=+12%2F16+
+12%2F16+=+12%2F16+
OK