Question 150519
A solution of 75% pesticide is to be mixed with a solution of 51% pesticide to form 48 liters of a 64% solution.  How much of the 75% solution is needed?


x=liters of 75%
48-x=liters of 51%
coefficient=percent


75(x)+51(48-x)=64(48)


Distribute
75x+2448-51x=3072


Combine like terms
24x+2448=3072


Subtract 2448 from  both sides
24x=624


Divide both sides by 24
x=26


x=liters of 75%
48-x=liters of 51%


Answer:
liters of 75%=26
liters of 51%=22