On Tuesday, a local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

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.

This case

Being "x" the number of hamburgers sold, and knowing that:

A local hamburger shop sold a combined total of 282 hamburgers and cheeseburgers.
The number of cheeseburgers sold was two times the number of hamburgers sold.

the equation in this case is:

x + 2x = 282

Solving:

3x = 282

x=282÷3

x= 94

Finally, the number of hamburgers sold is 94.

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