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11 June, 06:08

3. Jacob and Sarah are saving money to go on a trip. They need at least $1975 in order to go. Jacob mows lawns and Sarah walks dogs to raise money. Jacob charges $25 each time he mows a lawn and Sarah charges $15 each time she walks a dog. The number of dog walks that Sarah has scheduled is no more than four times the number of lawns Jacob has scheduled to mow. Sarah will walk at least 50 dogs.

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  1. 11 June, 09:25
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    The total money needed = $1975

    Let Jacob mow x lawns

    Money earned by Jacob = 25x

    Dog walks by Sarah ≤ 4x

    Money earned by Sarah ≤ 60x

    Total earned by both:

    1975 = 25x + 60x

    1975 = 85x

    Jacob must mow at least (x) 24 lawns

    Sarah then must walk at least

    4 (24)

    = 96 dogs
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