SOLUTION: A gas station owner has 30 gallons of gasoline for which he charges $3.03 per gallon and some for which he charges $3.74 per gallon. How many gallons of the $3.74 brand must the o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A gas station owner has 30 gallons of gasoline for which he charges $3.03 per gallon and some for which he charges $3.74 per gallon. How many gallons of the $3.74 brand must the o      Log On


   



Question 476000: A gas station owner has 30 gallons of gasoline for which he charges $3.03 per gallon and
some for which he charges $3.74 per gallon. How many gallons of the $3.74 brand must the owner mix in to produce gasoline that costs $3.28 per gallon?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = gallons of $3.74 gas to be mixed in
In words:
( cost of $3.03 gas ) + ( cost of $3.74 gas ) = ( cost of $3.28 gas )
given:
Cost of $3.03 gas = +3.03%2A30+=+90.9+
Cost of $3.74 gas = +3.74x+
Cost of $3.28 gas = +3.28%2A%2830+%2B+x%29+
--------------------------------
+90.9+%2B+3.74x+=+3.28%2A%2830+%2B+x%29+
+90.9+%2B+3.74x+=+98.4+%2B+3.28x+
+.46x+=+7.5+
+x+=+16.304++
The owner must mix in 16.304 gallons of the $3.74 gas
check answer:
+90.9+%2B+3.74x+=+3.28%2A%2830+%2B+x%29+
+90.9+%2B+3.74%2A16.304+=+3.28%2A%2830+%2B+16.304%29+
+90.9+%2B+60.977+=+3.28%2A46.304+
+151.877+=+151.877+
OK