8 boys, x girls, 4 pencils each, total number of pencils 52.
The equation can be 4(8+x) = 52
So lets solve:
4(8+x)=52
Divide 4 on both sides:
8 + x=52 / 4
8 + x = 13
Subtract on both sides:
x = 13 - 8
x = 5
There are 5 girls in the class.
Now lets solve to double check:
4(8+5)=52
4(13)=52
52 = 52
Yes!
This means that there are 5 girls in the class.
I hope this helps! :)
Taking into account the definition of equation, there are 5 girls in the class.
An equation is defined as an equality established between two expressions, in which there may be one or more unknowns that must be solved.
In other words, an equation is the equality 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 (=), which in turn each of them are 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 for certain values of the unknown.
In this way, the solution of an equation means determining through certain procedures the value that satisfies it.
A class has 8 boys and x girls. Each student has 4 pencils. The total number of pencils the students is 52.
An equation that models this situation is:
4×(8+x)= 52
It is considered that:
Solving in this case:
8 +x= 52÷4
8 +x= 13
x= 13 -8
x= 5
Finally, there are 5 girls in the class.
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