A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount $x$ (in dollars) the restaurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day

Respuesta :

Considering the definition of an equation and the way to solve it, the amount of money that the restaurant needs to earn on Sunday is $1431.

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.

Amount of money that the restaurant needs to earn on Sunday

Being "x" the amount of money that the restaurant needs to earn on Sunday, and knowing that:

  • The restaurant earns $1445 on Friday.
  • The restaurant earns $1624 on Saturday.
  • The reastautant earns an average of $1500 per day over the three-day period.

the equation in this case is:

($1445 + $1624 + $x)÷ 3 days= $1500 per day

Solving:

1445 + 1624 + x= 1500×3

3069 + x= 4500

x= 4500 - 3069

x= 1431

Finally, the amount of money that the restaurant needs to earn on Sunday is $1431.

Learn more about equations:

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