a landscaping company makes 200 gallons of 14% fertilizer to fertilize the shrubs in the office Park they have in stock 20% fertilizer and 1

Question

a landscaping company makes 200 gallons of 14% fertilizer to fertilize the shrubs in the office Park they have in stock 20% fertilizer and 10% fertilizer

how much of each fertilizer type should they mix together?​

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Huyền Thanh 3 years 2021-08-18T20:53:10+00:00 1 Answers 6 views 0

Answers ( )

    0
    2021-08-18T20:54:17+00:00

    Answer:

    120 gallons of 10% fertilizer and 80 gallons of 20% fertilizer

    Step-by-step explanation:

    If x is gallons of 10% fertilizer, and y is gallons of 20% fertilizer, then:

    x + y = 200

    0.10x + 0.20y = 0.14(200)

    Solve with substitution:

    0.10x + 0.20(200 − x) = 0.14(200)

    0.10x + 40 − 0.20x = 28

    12 = 0.10x

    x = 120

    y = 80

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