Question

Pis possib

How many gallons of a 60% antifreeze solution must be mixed with 100 gallons of 15% antifreeze to get a mixture that is
50% antifreeze? Use the six-step method.
Gallons of
Antifreeze
Strength Gallons of
Solutions
60%
X
15%
100
50%
X + 100

Answer 1

x = 350 gallons (amt of 60% solution that must be added)

Explanation:

Amt of 60% solution = x gallons ; Amt of active ingredient = 0.6x gallons

Amt of 15% solution = 100 gallons ; Amt of active ingredient = 15 gallons

Amt of 50% solution = 100+x gallons ; Amt of active = 50 + 0.5x gallons

EQUATION:

Active ingredient: 0.60x + 15 = 50 + 0.50x

0.10x = 35

x = 350 gallons (amt of 60% solution that must be added)