Answer:
If we know Mustafa, Heloise, and Gia have written more than a combined total of 22 articles, this can be written as:
[tex]M+H+G>22[/tex] (1)
Now, we are asked to determine the number of articles Mustafa could have written. So, firstly we have to write the following relations:
Heloise has written 1/4 as many articles as Mustafa has
[tex]H=\frac{1}{4}M[/tex] (2)
Gia has written 3/2 as many articles as Mustafa has:
[tex]G=\frac{3}{2}M[/tex] (3)
Then, we have to substitute the values of the equations (2) and (3) in equation (1):
[tex]M+\frac{1}{4}M+\frac{3}{2}M>22[/tex]
And find the amount of articles Mustafa could have written:
[tex]\frac{4M+M+6M}{4}>22[/tex]
[tex]11M>(22)(4)[/tex]
[tex]M>\frac{88}{11}[/tex]
Finally:
[tex]M>8[/tex] This is the amount of articles Mustafa could have written
