Jennifer has $25. 00 and earns $0. 50 for every chore she completes. Amaya has $13. 00 and earns $2. 00 for every chore she completes. How many chores must each girl complete to have the same amount of money?.

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.

Each equation has two members, and these are separated by using the equal sign (=).

Each member is made up of terms.

The unknowns, that is, the values to be found, are represented by letters.

The equality between the two algebraic expressions is only verified or true for certain values of the unknown.

Amount of chores

To find the amount of chores in this case, in first place you know Jennifer has $25.00 and earns $0.50 for every chore she completes. The money that Jennifer saves is expressed as: 25 + 0.50x, being x the amount of chores that Jennifer sells.

On the other side, Amaya has $13.00 and earns $2.00 for every chore she completes. The money that Amaya saves is expressed as: 13 + 2x, being x the amount of chores that Amaya sells.

They have the same amount of money, then it is expressed by the equation:

25 + 0.50x= 13 + 2x

Taking into account that:

When a value you are adding is passed to another side of the equation, this value will be passed by subtracting.
If a value you are subtracting is passed to the other side of the equation, this value will be passed adding.
When a value you are dividing goes to another side of the equation, it will be multiplied.
If a value is multiplying it passes to the other side of the equation, then it will pass dividing.

The equation is solved as:

25 -13= 2x - 0.50x

12= 1.5x

12÷ 1.5= x

8=x

Finally, each girl must complete 8 chores to have the same amount of money.

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