Question

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.

Answer 1

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

`m+h+g>22`

and we have that

`h=(1)/(4)m\text{ ----> equation 1}`
`g=(3)/(2)m\text{ ----> equation 2}`

substitute equation 1 and equation 2 in the above inequality

`m+(1)/(4)m+(3)/(2)m>22`

Solve for m

`\begin{gathered} m+(1)/(4)m+(3)/(2)m\gt22 \\ \\ (11)/(4)m>22 \\ \\ 11m>88 \\ m>8 \end{gathered}`

The answer is m>8