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Mustafa, Heloísa and Gia wrote together a total of more than 22 articles for the school newspaper. HeloisaWrote a number of articles that corresponds to 1/4Of the articles written by Mustafa. Gia wrote a number of articles that corresponds to 3/2 of the articles written by Mustafa.Write an inequality to determine the number of articles, m., that Mustafa may have written for theSchool newspaper.

Sagot :

Let

m -----> the number of articles that Mustafa may have written for the School newspaper

h ----> the number of articles that Heloisa may have written for the School newspaper

g ----> the number of articles that Gia may have written for the School newspaper

so

The inequality that represents this situation is given by

[tex]m+h+g>22[/tex]

and we have that

[tex]h=\frac{1}{4}m\text{ ----> equation 1}[/tex][tex]g=\frac{3}{2}m\text{ ----> equation 2}[/tex]

substitute equation 1 and equation 2 in the above inequality

[tex]m+\frac{1}{4}m+\frac{3}{2}m>22[/tex]

Solve for m

[tex]\begin{gathered} m+\frac{1}{4}m+\frac{3}{2}m\gt22 \\ \\ \frac{11}{4}m>22 \\ \\ 11m>88 \\ m>8 \end{gathered}[/tex]

The answer is m>8

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