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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?​

Respuesta :

MathPhys

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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