Algebraic equations are equations that consist of unknown variables. These variables can be represented using the letters of the alphabet.
The total fee charged by the companies will be the same in 3 hours.
Let's represent the number of hours as :h
- Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. The algebraic equation to represent this statement is given as:
$15 + $3 x h
15 + 3h ..........Equation 1
- Happy Hounds charges a flat fee of $21 plus $1 per hour. The algebraic equation to represent this statement is given as:
$21 + $1 x h
21 + h ..........Equation 1
- We equate both equations to each other
Equation 1 = Equation 2
15 + 3h = 21 + h
Collect like terms
3h - h = 21 - 15
2h = 6
Divide both sides by 2
2h/2 = 6/2
h = 3
Therefore, the total fee charged by the companies will be the same in 3 hours.
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