Question

~ PLEASE HELP ~

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, m, Mustafa could have written for the school newspaper.

Answer 1

If we know Mustafa, Heloise, and Gia have written more than a combined total of 22 articles, this can be written as:

`M+H+G>22` (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

`H=(1)/(4)M` (2)

Gia has written 3/2 as many articles as Mustafa has:

`G=(3)/(2)M` (3)

Then, we have to substitute the values of the equations (2) and (3) in equation (1):

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

And find the amount of articles Mustafa could have written:

`(4M+M+6M)/(4)>22`

`11M>(22)(4)`

`M>(88)/(11)`

Finally:

`M>8` This is the amount of articles Mustafa could have written