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29 June, 16:15

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?

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Answers (1)
  1. 29 June, 19:21
    0
    52.5%

    Step-by-step explanation:

    16 quarts is the capacity, in gallons that is:

    16/4 = 4 gallons

    It already has 2 gallons (half of 4 = 2) of 15% antifreeze. There are:

    15% of 2 = 0.15 * 2 = 0.3 gallons of antifreeze

    owner adds 2 gallons of 90% antifreeze, so antifreeze added is:

    90% of 2 = 0.9 * 2 = 1.8 gallons of antifreeze

    Now, in total there is 0.3 + 1.8 = 2.1 gallons of antifreeze

    and

    total amount of solution is:

    2 gallons from before

    2 gallons added by owner

    = 4 gallons in total

    To find percentage of antifreeze, we divide amount of antifreeze (2.1) by total amount of solution now (4), thus we have:

    2.1/4 = 0.525

    Multiplying by 100, we get:

    0.525 * 100 = 52.5%
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