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Thread: Paint containers

  1. #1
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    Paint containers

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    A certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint. If 2 gallons of the mixture is needed and the individual colors can be purchased only in one-gallon or half- gallon cans, what is the least amount of paint, in gallons, that must be purchased in order to measure out the portions needed for the mixture?
    (A) 2
    (b) 2.5
    (c) 3
    (d) 3.5
    (e) 4

  2. #2
    An Urch Guru Pundit Swami Sage
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    In 2 gallons of mixture
    White paint required = 3*2/8=3/4 gallon ==> need to buy 1 gallon can
    Black paint required = 5*2/8=5/4 gallon ==> need to buy 1 (1 gallon can) and 1(1/2 gallon can).

    Total = 1 + 1 + 1/2 = 2.5 gallon

  3. #3
    An Urch Guru Pundit Swami Sage genius_in_the_gene's Avatar
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    2.5 it is

  4. #4
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    2.5 it is.

  5. #5
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    3x+5x=2
    8x=2
    x=0.25

    white = 3x = 0.75 = 1*(1 gallon container)

    black = 5x = 1.25 = 1 * (1 gallon container) + 1*(0.5 gallong container)

    answer : 2.5 gallons

  6. #6
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    The parts of the white and black mixture is 3:5 so 3/8*2 gallons of white and 5/8 *2 gallons of black are required which is 0.75 and 1.25 respectively, since it is available only in 1/2 and 1 gallon you requie 1 gallon for white and 1.5 gallons for Black, so it is 2.5 gallons. Answer is B

  7. #7
    Within my grasp! abhishek_mumbai's Avatar
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    make a ratio.. for every gallon.. we need 3/8 of white and 5/8 of black.
    so for 2 gallons, we need 6/8 of white i.e. 3/4 gallon and 10/8 of black i.e. 5/4 gallons

    now, as we can buy in 1 and 1/2 parts.. we need 1 gallon of white and 1.5 gallons of black.. total 2.5 gallons
    we still have 1/4 gallon of white and 1/4 gallon of black remaining..
    I'll see if I can use it for my store room (at least white)

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