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12 January, 10:12

A Gardner wants to add 39 pounds of nutrient a and 16 pounds of nutrient b to her garden. Each bag of brand x provides 3 pounds of nutrient a and 2 pounds of nutrient b. Each bag of brand y provides 4 pounds of nutrient a and 1 pound of nutrient b. How many bags of each brand should she buy?

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  1. 12 January, 10:52
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    5 bags of brand x and 6 bags of brand y.

    Step-by-step explanation:

    Nutrient requirement for the garden:

    39 pounds of nutrient a and

    16 pounds of nutrient b

    Component of each bag of brand x:

    3 pounds of nutrient a and 2 pounds of nutrient b

    Therefore, 5 bags of brand x will contain 15 pounds of nutrient a and 10 pounds of nutrient b

    Component of each bag of brand y:

    4 pounds of nutrient a and 1 pound of nutrient b

    Therefore, 6 bags of brand y will contain 24 pounds of nutrient a and 6 pounds of nutrient b

    Altogether, she should buy 5 bags of brand x and 6 bags of brand y to meet the nutrient requirement of the garden
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