SOLUTION: Mobile-friendly - SOLUTION: A grocer sells 15 grams of nuts at P0.75 per gram. How many grams of nuts at P1.00 per gram must he sell to make his average price 0.85?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Mobile-friendly - SOLUTION: A grocer sells 15 grams of nuts at P0.75 per gram. How many grams of nuts at P1.00 per gram must he sell to make his average price 0.85?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1039218: Mobile-friendly - SOLUTION: A grocer sells 15 grams of nuts at P0.75 per gram. How many grams of nuts at P1.00 per gram must he sell to make his average price 0.85?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of nuts @ P 1.00 / gram
he must sell to average 0.85/gram
--------------------------------------
+.85+=+%28+.75%2A15+%2B+1%2Ax+%29+%2F+%28+15+%2B+x+%29+
+.85%2A%28+15+%2B+x+%29+=+11.25+%2B+x+
+12.75+%2B+.85x+=+11.25+%2B+x+
+.15x+=+1.5+
+x+=+10+
--------------
He must sell 10 grams of nuts @ 1.00 / gram
--------------
check:
+.85+=+%28+.75%2A15+%2B+1%2Ax+%29+%2F+%28+15+%2B+x+%29+
+.85+=+%28+.75%2A15+%2B+1%2A10+%29+%2F+%28+15+%2B+10+%29+
+.85+=+%28+11.25+%2B+10+%29+%2F+25+
+21.25+=+21.25+
OK