Question

Mustafa, Heloise, and Gia have written more than a combined total of 2222 22 articles for the school newspaper. Heloise has written 14\dfrac{1}{4} 4 1 ? as many articles as Mustafa has. Gia has written 32\dfrac{3}{2} 2 3 ? as many articles as Mustafa has. Write an inequality to determine the number of articles, mm m , Mustafa could have written for the school newspaper.

Answer 1

Answer:
`m>8`

Mustafa could have written more than 8 articles for the newspaper.

Explanation:

Given: Heloise has written 1/4 as many articles as Mustafa has. Gia has written 3/2 as many articles as Mustafa has.

Let m be the number of articles Mustafa writes.

Then articles written by Heloise=
`(1)/(4)m`

And articles written by Gia=
`(3)/(2)m`

The total number of articles =
`m+(1)/(4)m+(3)/(2)m=(4m+m+6m)/(4)=(11m)/(4)`

Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.

`(11m)/(4)>22\\\Rightarrow\ m>(22*4)/(11)\\\Rightarrow\ m>8`

Hence, Mustafa could have written more than 8 articles for the newspaper.