Question

It takes Makhaya 75 minutes and 3 paper sheets to complete a writing assignment, and it takes him 15 minutes and 1 paper sheet to complete a math assignment. Makhaya is required to spend more than 300 minutes to complete assignments, and he can use at most 20 paper sheets.
Let W denote the number of writing assignments he completes and M
the number of math assignments he completes.
Write an inequality that represents the condition based on the number of minutes.

Answer 1

an inequality for minutes is  $75W + 15M>300$ minutes and an inequality for paper sheets is  $3W+M\leq 20$ paper sheets.

Step-by-step explanation:

We need to Write an inequality that represents the condition based on the number of minutes . Let's find out:

Let W denote the number of writing assignments he completes and M  the number of math assignments he completes. According to question let's write inequality for following cases as

• It takes Makhaya 75 minutes and 3 paper sheets to complete a writing assignment

• it takes him 15 minutes and 1 paper sheet to complete a math assignment

It's given that Makhaya is required to spend more than 300 minutes to complete assignments i.e.

⇒ $75W + 15M>300$

And , he can use at most 20 paper sheets i.e.

⇒ $3W+M\leq 20$

Therefore , an inequality for minutes is  $75W + 15M>300$ and an inequality for paper sheets is  $3W+M\leq 20$ .