Question

There are a total of 21 students in the choir and the drama club. There are 7 more students in the choir than the drama club. Write and solve a system of equations to represent this solution. Let x represent the number of students in the choir, and let y represent the number of students in the drama club. Interpret the solution.

Answer 1

The number of students in the drama club is 7 and the number in the choir is 14

Explanation:

X = Number of students in choir club

Y = Number of students in drama club

First equation:

x + y = 21

Since we know that there are 7 more students in the choir club than the drama club, that means:

x + 7 = y

A little trick that you can do to find y is this:

21 students in the choir and drama club - 7

=> 14

Meaning that y is 14

So lets go back into our second equation:

x + 7 = 14

7 + 7 =14

x=7

Plug both variables in:

7 + 14 = 21

So that means that there are 7 students in the drama club and 14 students in the choir club.