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# 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..

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

### 3 Answers

- Wayne DeguManLv 76 months agoFavorite Answer
m + m/4 + 3m/2 > 22

so, 4m + m + 6m > 88

i.e. 11m > 88

so, m > 8

:)>

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- Mike GLv 76 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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- TomVLv 76 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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