Answer:
After 50 minutes, the price charged by each company will be the same.
Explanation:
First, we would have to set up an equation for each of the cleaning services. We can set our variable up as "m" for "minute" because that is the unknown value.
[tex]Molly Maids: 10+0.35m\\ Sally Scrubs: 15+0.25m[/tex]
To see how many minutes have to pass for the price charged by each service to equal each other, we must literally make the equations equal each other.
[tex]10+0.35m=15+0.25m[/tex]
Now, to solve for m, we first combine like terms.
[tex]10-15=0.25m-0.35m[/tex]
Subtract.
[tex]-5=-0.1m[/tex]
Divide both sides by 0.1 to isolate m.
[tex]m=5/0.1[/tex]
[tex]m=50[/tex]
Therefore, the price charged by each company will be the same after 50 minutes.
I hope this helps!
