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8 May, 09:02

The frist brand is 30% and the second on is 55% in order to obtain 30 gallons of mixture that contains 35% how many gallons of each brand must you usr

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Answers (2)
  1. 8 May, 09:24
    0
    yeet

    first brand quantity is x

    2nd brand quantity is y

    x+y=30

    0.3x+0.55y=0.35 (30) or 0.3x+0.55y=10.5

    solve for x and y

    multiply first equation by - 0.3

    -0.3x-0.3y=-9

    add to 2nd equation

    0.3x-0.3y=-9

    0.3x+0.55y=10.5 +

    0x+0.25y=1.5

    0.25y=1.5

    divide both sides by 0.25

    y=6

    sub back

    x+y=30

    x+6=30

    x=24

    you need 24 gallons of the first brand and 6 gallons of the 2nd brand
  2. 8 May, 09:27
    0
    Answer: First Brand = 24 gallons, Second Brand = 6 gallons

    Explanation:

    Quantity % Qty (%)

    First Brand x 0.30 0.30x

    Second Brand 30 - x 0.55 0.55 (30 - x) = 16.5 - 0.55x

    Total 30 * 0.35 = 0.30x + 16.5 - 0.55x

    30 (0.35) = 16.5 - 0.25x

    10.5 = 16.5 - 0.25x

    -6.0 = - 0.25x

    24 = x

    Second Brand: 30 - x = 30 - 24 = 6
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