There are 212 students in the 8th grade class. The number of girls is 49 less than twice the number of boys. How many girls and boys are in the class?

girls = 125

boys = 87

Step-by-step explanation:

Total number of students in the 8th grade class = 212

Let g represent girls and b represent boys

Number of girls, g = 2b -49

Note that boys and girls in the class give a total of 212

So,

g + b = 212 eq 1

Slot in the value of g in the equation

2b - 49 + b = 212

2b + b - 49 = 212

3b - 49 = 212

Add 49 to both sides

3b - 49 + 49 = 212 + 49

3b = 261

Divide both sides by the coefficient of b which is 3

b = 87

Now that we've found the number of boys, let's find that of girls

We will slot in the value of b in eq 1

g + 87 = 212

Subtract 87 from both sides

g + 87 - 87 = 212 - 87

g = 125

So the number of boys is 87 and the number of girls is 125

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