Question

Karla wants her home cleaned. Molly maids charges $10 a day plus $0.35 per minute. Sally scrubs charges $15 a day plus $0.25 per minute. After how many minutes will the price charged by each company be the same?

A. 150 minutes
B. 50 minutes
C. 100 minutes
D. 200 minutes

Answer 1

After 50 minutes, the price charged by each company will be the same.

Step-by-step 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.

`Molly Maids: 10+0.35m\\ Sally Scrubs: 15+0.25m`

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.

`10+0.35m=15+0.25m`

Now, to solve for m, we first combine like terms.

`10-15=0.25m-0.35m`

Subtract.

`-5=-0.1m`

Divide both sides by 0.1 to isolate m.

`m=5/0.1`

`m=50`

Therefore, the price charged by each company will be the same after 50 minutes.

I hope this helps!