the age of girls in a class is 13 or 30% bigger than the boys . How many students are in the class
Answers
Answer:
innare ma
Step-by-step explanation:
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Simply set up a systems of equations.
let x=number of boys, and
let y=number of girls.
since there are 30 more boys than girls, we can say that y+30=x, or the amount of boys is equal to the number of girls plus thirty more.
We can also say that the total number of students in the class is 130, so x+y=130, or the number of girls plus the number of boys is equal to 130 students.
x+y=130
y+30=x
Because x is y+30, we can substitute the x in the first equation with y+30, so
x+y=130 is (y+30)+y=130 is y+y+30=130 is 2y+30=130
Subtract thirty from both sides, and you get 2y=100
Divide by two, and get y, or the number of girls, is equal to 50 students.
Looking back to the first equation, substitute 50 for y, and get;
x+y=130 is x+50=130 subtract 50 from both sides, you get x, or number of boys, is 80 students. Thanks for reading!