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

Question

3 years ago

11

boys are in the class?

1 answer:

Anna71 [15] · Answer 1 · 2022-06-19T17:17:18+03:00

Answer:

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