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20 November, 17:54

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is 30% salt and Solution B is 70% salt. She wants to obtain 120 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?

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Answers (2)
  1. 20 November, 19:00
    0
    Solution A: 15 ounces

    Solution B: 105 ounces

    Step-by-step explanation:

    A + B = 120

    A = 120 - B

    0.3A + 0.7B = 0.65 (120)

    0.3A + 0.7B = 78

    0.3 (120 - B) + 0.7B = 78

    36 - 0.3B + 0.7B = 78

    0.4B = 42

    B = 105

    A = 120 - 105

    A = 15
  2. 20 November, 21:21
    0
    15 ounces solution A

    105 ounces solution B

    Step-by-step explanation:

    Let x be the amount of solution A

    We need a total of 120 ounces of solution

    Therefore we need

    120-x ounces of solution B

    Take the ounces of solution A times the percentage salt + the ounces of solution B times the percentage salt and this should equal the total ounces time the percentage sale

    .3 x + (120-x) *.7 = 120 *.65

    Distribute

    .3x + 84 -.7x = 78

    Combine like terms

    -.4x = - 6

    Divide each side by -.4

    -.4x/-.4 = - 6/-.4

    x = 15

    We need 15 ounce of solution A

    We need 120 ounces total

    120-15 = 105 ounces of solution B
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