1. There are 50 contestants signed up for a TV show. There are 36 more female contestants than male contestants. How many female contestants have signed up to compete? Show your solution and explain how you plan to explain this to your students.

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 females contestants

Being "m" the number of male contestants, and knowing that:

There are 50 contestants signed up for a TV show.
There are 36 more female contestants than male contestants.

the equation in this case is:

m + (m+36) = 50

Solving:

m + m = 50 - 36

2m= 14

m= 14 ÷ 2

m= 7

Since there are 36 more female contestants than male contestants, then m +36= 7 + 36= 43

Finally, 43 female contestants have signed up to compete.

Learn more about equations:

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