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27 votes
John is doing some Landscaping in his backyard. He plans to plant bushes and then Place mulch around each Bush. The mulch cost $4 per bag in the bushes cost $10 each. He cannot spend more than $100. He wants to buy at least five wishes. Write a system of inequalities. what does the solution set mean

User GPiter
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1 Answer

10 votes
10 votes

\begin{gathered} 4x+10y\leq100 \\ x+y\leq10 \end{gathered}

So that is the system of inequalities that we have in the word problem.

Okay, I am gonna write here, can you see it now.?

So that is the answer, I am not sure what the "wishes" here in the sentence means,! I have assumed a set

like there should be 5 of the bushes and each requires a "mulch" and "bush"

so, based on this I have formed the inequalities.

What grade are you in? Okay so, I assume you are well acquainted with the word problems and how we translate them into mathematics.

Ahhh, I get it. You are taking calculus? I mean apart from this? Okay, I understand. So did you follow the answer all the through, don't hesitate to ask questions.

Alright. you can ask any clarifying questions that you may have.

All right, by the way, if you understand the way to translate words into mathematics, 80% of the problem is solved, then you will have to just do the steps, see this is why they say mathematics is a language.

So I am looking forward to helping you next time.

If you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. ✍ Thanks and have a great day!

You are Welcome

User Benny Chan
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