Ask Question
7 December, 09:45

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?

+3
Answers (1)
  1. 7 December, 09:47
    0
    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
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers