Considering the definition of an equation and the way to solve it, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.
<h3>Definition of equation</h3>
An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear.
The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:
- When a value that is adding, when passing to the other member of the equation, it will subtract.
- If a value you are subtracting goes to the other side of the equation by adding.
- When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.
- If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.
<h3>This case</h3>
First, you define the variable "t" as the time for the landscaping company to work on the backyard renovation. You know that:
- Company A charges a $50 fee to come out to your house plus $10 an hour to work.
- Company B charges $15 per hour and $30 to show up.
So the price of each company is:
- Price of company A=50 + 10t
- Price of company B=30 + 15t
If both companies equal the same price, the equation in this case is:
Price of company A= Price of company B
50+ 10t= 30 + 15t
Solving
50 - 30= 15t - 10t
20= 5t
20÷5= t
<u><em>4=t</em></u>
At this time, the price of both companies is
- Price of company A= 50+ 10t= 50 + 10×4= 90
- Price of company B= 30 + 15t= 30 + 15×4= 90
In summary, it will take 4 hours for both companies to equal the same price and it will cost $90 at that time.
Learn more about equations:
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brainly.com/question/13314678
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