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16 November, 15:48

benjamin wants to win headphones. in addition to his grandmother and uncle, some friends of his agree that each one will give him a 20$ donation. some other friends agree that each one will pay him 0.25$ for every correct answer. the number of friends who donate 20$ to benjamin is 4 times the number who pay him for correct answers. write and solve and inequality to find the least number of friends who must pay him 0.25$ for each correct answer

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  1. 16 November, 15:54
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    n ≥ 3.74

    Min #of friends = 4

    Step-by-step explanation:

    There are some info missing. Let me say those:

    Given

    Cost of Headphones = $345

    Grandma and Uncle will give = $45

    Now let x be the donation of each friend, so x = 20, and

    let y be the correct answer friends, y = 0.25

    Now, let n represent the number of friends who's gonna give Benjamin $0.25.

    Also, we know his Total Income must be greater than or equal to the cost for him to buy the headphone. Thus we can say:

    Total Income ≥ Cost

    Cost = 345

    TOtal Income = 45 (from relatives) + 4n (20) (4n donation friends each giving 20) + 0.25n (n people giving 0.25 each).

    Thus, we have:

    Total Income ≥ Cost

    45 + 80n + 0.25n ≥ 345

    80.25n ≥ 300

    n ≥ 3.74

    Therefore, the minimum number of friends who must pay Benjamin $0.25 for each correct answer in order for him to meet his goal is 4.
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