Question 1157584


A beverage manufacturer aims to mix up an 840 gallons batch of a tomato juice blend that contains 26% juice. The manufacturer will be combining a 6% blend and a 31% blend to achieve this. How much of each type should the manufacturer combine to get the desired tomato juice blend?

Blend A contains 31% juice. let it be x gallons
Blend B contains 6% let it be y gallons

x+y=840------------------1

31%x+6%y = 26%(x+y)
31x+6y=26x+26y
5x-20y=0-----------------2

solve 1 &2

multiply (1) by- 5
-5x-5y=-4200
5x-20y=0
add 
-25y = 4200
y=168

168 gallons of blend B
Balance Blend A =840-168=672 gallons