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8 March, 22:48

Gabriel is making a mixer of compost and soil to use for a special plant he wants his final mix to be 2 parts compost to 8 parts potting soil he wants to end up with 12 kilograms of mix. How many kilograms of compost should Gabriel use?

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  1. 8 March, 23:31
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    Gabriel should use 2.4 kilograms of the compost.

    Step-by-step explanation:

    Here, the ratio of Compost : Potting Soil = 2 : 8

    Also, total weight of the mix = 12 kg

    Let us assume the common factor in the ratio = m

    So, the amount of compost used in the mix = 2 x m = 2m

    Also, the amount of Potting soil used in the mix = 8 x m = 8m

    Weight of Compost + Weight of potting soil = 12 kg

    ⇒ 2m + 8 m = 12

    or, 10 m = 12

    ⇒ m = 12 / 10 = 1.2, or m = 1.2

    So, now the weight of the compost used = 2 m = 2 x 1.2 = 2. 4 kg

    And the weight of potting soil used = 8 m = 8 x 1.2 = 9. 6 kg

    Hence, Gabriel should use 2.4 kilograms of the compost.
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