An equation is formed of two equal expressions. The amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the amount of premium anti-freeze solution mixed be represented by x, while the amount of water mixed be represented by y.
Since the total mixture should be 240 gallons, therefore,
x + y = 240
Solving for y,
y = 240 - x
Given the percentage of pure antifreeze, the mixture should contain is 15%. Therefore, we can write,
60%x + 0%y = 15%(240)
0.60x = 0.15(240)
x = 60 gallons
Now substitute the value of x in the first equation,
y = 240 - 60 = 180 gallons
Hence, the amount of premium antifreeze and the water that should be mixed are 60 gallons and 180 gallons, respectively.
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