Question

There are thirty three students in the chess club. There are five more boys than girls in the club. Write and solve a system of equations to find the number of boys and girls in the chess club.

Answer 1

There are 14 girls and 19 boys in the chess club.

Explanation:

Let x be girls and y be boys in the chess club. First, we need to write the system.

We know there are 33 students in total.

x + y = 33

We also know there are five more boys than girls in the club.

x + 5 = y

Here is our system of equations and the solving process:

x + y = 33

x + 5 = y

First, we will solve for y with substitution:

x + y = 33

x + (x + 5) = 33

2x = 28

x = 14

Now, we will plug in this x-value:

x + y = 33

(14) + y = 33

y = 19

There are 14 girls and 19 boys in the chess club.