Question

Write a linear equation in one variable to help you answer the question. Your dad is researching landscaping companies to come put new mulch out for the year. The first company charges $100 just to come out, plus $10 per bag of mulch, , needed. The second company doesn’t charge to come out but charges $30 per bag of mulch. After how many bags of mulch will the total cost of each company be the same?

Answer 1

$\begin{gathered} 100\text{ + 10m= 30m} \\ 100=\text{ 30m - 10m} \\ 100=\text{ 20m} \\ \frac{100}{20}=m \\ \\ 5=m \end{gathered}$

m= Bag of mulch needed.

Then, after 5 bags of mulch, the total cost of each company will be the same.