There are 22 students on the debate team. The number of boys is two more than three times the number of girls. How many boys are on the team?
B=3G+2 ---- (i)
B+G=22 ---- (ii)
=> (3G+2)+G = 22
=> 4G + 2 = 22
=> 4G = 20
=> G = 5
B = 3X5 + 2
= 15+2
= 17
(a^2/3)^6/8
To find the number of boys on the debate team, we'll first set up a system of equations based on the given information. Let's use the variables "b" to represent the number of boys and "g" to represent the number of girls.
We are told that there are a total of 22 students on the debate team. So our first equation is:
b + g = 22
We are also told that the number of boys is two more than three times the number of girls. This can be written as:
b = 3g + 2
To solve this system of equations, we can use substitution or elimination.
Let's use the substitution method:
Step 1: Solve the first equation for one variable in terms of the other. We'll solve for "b":
b = 22 - g
Step 2: Substitute this expression for "b" into the second equation:
22 - g = 3g + 2
Step 3: Simplify and solve for "g":
22 - 2 = 3g + g
20 = 4g
g = 5
Now that we know the number of girls is 5, we can substitute this value into the first equation to find the number of boys:
b + 5 = 22
b = 22 - 5
b = 17
So, there are 17 boys on the debate team.