There are a total of 64 students in drama club and yearbook club. The drama club has 10 more students than yearbook club. Let x represent students in drama club and y for yearbook. Find the system of equations
Hint x= _____ and __x+__y=64
since there are 10 more students in the drama club than in the yearbook club that can be expressed as x(amount of people in drama club)= 10(people) + y(amount of people in yearbook club), or simply x=10+y
now that we determined what x equals we can plug that into the second equation then solve for y. x+y=64 (10+y)+y=64 10+2y=64 2y=54 y=27, so there 27 yearbook students.
the amount of drama club students is 10 more than that (x=10+27, x=37)
so there are 27 yearbook students and 37 drama club students which is a total of 64 students.