Ben’s garden is 1.9 m shorter than Faisal’s garden. Amy’s garden is three and a half times longer than Faisal’s garden. <

Question

Ben’s garden is 1.9 m shorter than Faisal’s garden.

Amy’s garden is three and a half times longer than Faisal’s garden.

Amy’s garden is 36.05 m long.

How long is Ben’s garden?

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Kim Cúc 4 years 2021-08-13T13:54:38+00:00 1 Answers 40 views 0

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  1. danthu
    0
    2021-08-13T13:56:06+00:00
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    Answer: Ben’s garden is 8.4 m long.

    Step-by-step explanation:

    Let’s define:

    B = length of Ben’s garden.

    A = length of Amy’s garden

    F = length of Faisal’s garden.

    We know that:

    “Ben’s garden is 1.9 m shorter than Faisal’s garden”

    This can be written as:

    B = F – 1.9m

    “Amy’s garden is three and a half times longer than Faisal’s garden.”

    A = 3.5*F

    “Amy’s garden is 36.05 m long”

    A = 36.05 m

    Then we have the system of equations:

    B = F – 1.9m

    A = 3.5*F

    A = 36.05 m

    To solve this, we need to first replace the last equation into the second one, and in that way we can find the value of F.

    A = 3.5*F

    36.05m = 3.5*F

    (36.05m)/3.5 = 10.3m = F

    Now that we know the value of F, we can replace it in the first equation:

    B = F – 1.9m

    B = 10.3m – 1.9m = 8.4m

    Ben’s garden is 8.4 m long.

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