Question

The capacity of an automobile cooling system is 16 quarts. It is half full of a 15% antifreeze solution. The owner is adding 2 gallons of a 90% solution (remember, 1 gallon = 4 quarts). When he is finished, what will the solution's percentage value be?

Answer 1

15% of 8quarts and 90% of 8 quarts = x% of 16 quarts 0.15 x 8 quarts + 0.90 x 8 quarts =1.2 quarts + 7.2 quarts = 8.4 quarts 8.4 quarts/16 quarts = (8.4)/(16) = 0.525 = 52.5% ONLY because the solutions are 50-50 we could have averaged the percentages (15 + 90)/2 = 52.5

Answer 2

A percentage is a way to describe a part of a whole. The solution's percentage in the tank is 52.5%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The capacity of an automobile cooling system is 16 quarts(4 gallons).

Also, 2 gallons of a 90% solution are added to 2 gallons of 15% solution that is already existing in the tank. Therefore, we can write,

The solution's percentage in the tank

= Amount of solution in the tank/ Total solution in the tank

= [(0.15×2)+(0.9×2)]/(2+4)

= 2.10/4

= 0.525

= 52.5%

Hence, The solution's percentage in the tank is 52.5%.

Learn more about Percentages:

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