SOLUTION: Tea worth 25.50 per pound is to be mixed with tea worth 29.40 per pound. How many pounds of each should be used to obtain 25 pounds of blend worth 27.00 per pound?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tea worth 25.50 per pound is to be mixed with tea worth 29.40 per pound. How many pounds of each should be used to obtain 25 pounds of blend worth 27.00 per pound?      Log On


   

Question 908222: Tea worth 25.50 per pound is to be mixed with tea worth 29.40 per pound. How many pounds of each should be used to obtain 25 pounds of blend worth 27.00 per pound?
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
25*27=675
x+y=25,
25.5*x+29.4*y=675
x=25-y
25.5*(25-y)+29.4*y=675
637.5-25.5y+29.4*y=675
3.9*y=37.5
y=9.61538462
x=25-y
x=15.3846154 at 25.50 and y=9.61538462 at 29.40
rounded
x=15.4 at 25.50 and y=9.6 at 29.40
check
15.3846154+9.61538462=25
25.5*x+29.4*y=675
25.5*15.3846154+29.4*9.61538462=675
392.307692+282.692308=675
675.0=675
ok