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At movie store #1, there is a membership fee of $22 and costs $8.50 to rent each movie represent by 'x'. At movie store #2, it costs $10.50 to rent each movie represented by 'x'. Solve the equation to find the number of rented moview to spend the same amount at each movie store.

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CintiaSalazar

Considering the definition of an equation and the way to solve it, the number of rented moview to spend the same amount at each movie store is 11.

Definition of equation

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 in addition to certain known data.

The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.

The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.

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.

Number of rented moview

Being "x" the number of rented moview, and knowing that:

  • At movie store #1, there is a membership fee of $22 and costs $8.50 to rent each movie → 22+8.5x
  • At movie store #2, it costs $10.50 to rent each movie → 10.50x

You spend the same amount at each movie store. Then the equation in this case is:

22 + 8.5x= 10.50x

Solving:

22= 10.50x - 8.5x

22= 2x

22 ÷ 2=x

x=11

Finally, the number of rented moview to spend the same amount at each movie store is 11.

Learn more about equations:

brainly.com/question/4983716

brainly.com/question/13314678

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