Two-step inequality word problems 3?

Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper. Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Write an inequality to determine the number of articles, mmm, Mustafa could have written for the school newspaper.

my answer is: m + m/4 + (3m)/2 > 22

and m> 8

Is my inequality right? If not please correct my answer..

Update:

Write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper.

3 Answers

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  • 6 months ago
    Favorite Answer

    m + m/4 + 3m/2 > 22

    so, 4m + m + 6m > 88

    i.e. 11m > 88

    so, m > 8

    :)>

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  • Mike G
    Lv 7
    6 months ago

    You are correct

    M+H+G > 22

    M + M/4 + 3M/2 > 22

    4M + M + 6M > 88

    11M > 88

    M > 8

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  • TomV
    Lv 7
    6 months ago

    M + H + G > 22

    H = M/4

    G = 3M/2

    M + M/4 + 3M/2 > 22

    4M + M + 6M > 88

    11M > 88

    M > 8

    M would have to be a multiple of 4. Otherwise Heloise and Gia's article counts would be fractional values.

    The smallest multiple of 4 greater than 8 would be 12. So you could also state:

    M ≥ 12, M divisible by 4

    or

    M ≥ 4k, k = integer ≥ 3

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