The number of girls in Stephen's class exceeded the number of boys by 8 . If there were 36 pupils in the class, how many were girls and how many were boys?
Q. The number of girls in Stephen's class exceeded the number of boys by 8 . If there were 36 pupils in the class, how many were girls and how many were boys?
Equation 1: Let's denote the number of boys as B and the number of girls as G. According to the problem, the number of girls exceeded the number of boys by 8, so we can write the following equation:G=B+8
Equation 2: We also know that the total number of pupils in the class is 36. This gives us a second equation:G+B=36
Substitute and Solve: Now we have a system of two equations with two variables:1) G=B+82) G+B=36We can substitute the expression for G from the first equation into the second equation to find the value of B.(B+8)+B=36
Find Boys: Solving for B, we combine like terms:2B+8=362B=36−82B=28B=228B=14So, there are 14 boys in the class.
Find Girls: Now that we know the number of boys, we can find the number of girls using the first equation:G=B+8G=14+8G=22So, there are 22 girls in the class.
More problems from Add, subtract, multiply, or divide two whole numbers: word problems