A high school graduating class is made up of 462 students. There are 132 more girls than boys. How many boys are in the class?
Mathematics · Middle School · Sun Jan 24 2021
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Given the statement:
A high school graduating class is made up of 462 students. There are 132 more girls than boys.
Determine how many boys are in the class.
Solution:
The given values can be represented as,
Let x = number of boys
132 + x = number of girls.
Equate the value in an equation with a sum of 462.
132 + x + x = 462
In order to determine the number of boys we simply needed to solve for x. The first step is to transpose 132 to the other side of the equation, hence it must be taken to note that in transposing a number. the sign changes.
132 + x + x = 462
2x = 462 -132
2x = 330
Divide both sides by 2 in order to determine the value of x.
2x/2 = 330/2
x = 115
Final answer:
x =115