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leonid
1 month ago
14

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?
Mathematics
1 answer:
zzz [12.3K]1 month ago
5 0
Answer:
3 hours

Explanation:
1) Let’s formulate an equation for each studio, using h to represent the number of hours as it’s the unknown value.

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

To determine how long it will take for their costs to match, we need to set the two equations equal.

10 + 8h = 16 + 6h

With our equation in place, we can begin solving it.

10 + 8h = 16 + 6h
Combine similar terms.
10 - 16 = 6h - 8h
-6 = -2h
2h = 6
To isolate h, divide both sides by 2.
2h/2 = 6/2
h = 3

I hope this is helpful! If you found it useful, a brainliest would be really appreciated:)
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