There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club. a. Write a system of linear equations that represents this situation. Let x represent the number of students in the drama club and y represent the number of students in the yearbook club.
Mathematics · High School · Tue Nov 03 2020
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given that:- There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
Let x represent the number of students in the drama club and y represent the number of students in the yearbook club
so, number of students in the drama club +number of students in the yearbook club= total students
x+y=64…………equation (1)
now, drama club has 10 more students than the yearbook club. it means, x=y+10……………equation(2)
now put the value of equation(2) in equation (1)
x+y=64
y+10+y=64
2y=64-10
2y=54
y=54/2
y=27 (number of students in the yearbook club)
now put this value in equation (1)
x+27=64
x=64-27
x=37 (number of students in the drama club)