SOLUTION: A​ sparkling-water distributor wants to make up 400 gal of sparkling water to sell for $8.00 per gallon. She wishes to mix three grades of water selling for ​$14​.00, ​$3β€

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A​ sparkling-water distributor wants to make up 400 gal of sparkling water to sell for $8.00 per gallon. She wishes to mix three grades of water selling for ​$14​.00, ​$3†     Log On


   

Question 1151891: A​ sparkling-water distributor wants to make up 400 gal of sparkling water to sell for $8.00 per gallon. She wishes to mix three grades of water selling for ​$14​.00, ​$3​.00, and​ $4.50 per​ gallon, respectively. She must use twice as much of the​ $4.50 water as the $ 3.00, water. How many gallons of each should she​ use?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
INGRED PRICE    QTY         COST

$14.00          y           14y

$3.00           x            3x

$4.50          2x            9x

----------------------------------

TOTAL         400         12x+14y
              gallons      dollars

system%283x%2By=400%2C%2812x%2B14y%29%2F400=8%29
Simplify and solve this system of equations.