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21 November, 02:33

A gardener buys two kinds of fertilizer. Fertilizer A contains 60% filler materials by weight and Fertilizer B contains 40% filler materials by weight. Together, the fertilizers bought by the gardener contain a total of 240 pounds of filler materials. Which equation models this relationship, where x is the number of pounds of Fertilizer A and y is the number of pounds of Fertilizer B?

A) 0.4x + 0.6y = 240

B) 0.6x + 0.4y = 240

C) 40x + 60y = 240

D) 60x + 40y = 240

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  1. 21 November, 02:54
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    The correct answer is option B.

    Step-by-step explanation:

    The number of pounds of Fertilizer A = x

    Percentage of fillers in Fertilizer A = 60%

    Amount of fillers in of Fertilizer A = 0.6x

    The number of pounds of Fertilizer B = y

    Percentage of fillers in Fertilizer B = 40%

    Amount of fillers in of Fertilizer B = 0.4y

    Total amount of fillers bought by gardener = 240 pounds

    Equation models this relationship: 0.6x + 0.4y = 240
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