Question

You want to paint a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. There are two studios to choose from. For studio a: The vase is $10 and the studio fee is $8 per hour. For studio b: The vase is $16 and the studio fee is $6 per hour. After how many hours of painting are the total costs the same at both studios?

Answer 1

Answer:
3 hours

Explanation:
1) Set an expression for each of the studios we can set out variable as h for hours because that is the unknown value.

Studio A: 10+8h
Studio B: 16+6h

To find out how many hours would pass for their costs to equal each other, we have to make them literally equal each other.

10+8h=16+6h

Now that we have an equation, we can start solving.

10+8h=16+6h
Combine like terms
10-16=6h-8h
-6=-2h
2h=6
Divide both sides by 2 to isolate h
2h/2=6/2
h=3

I hope this helped! If it did, a brainliest would be much appreciated :)