Question

The number of girls at middle school Cyber summer camp was six more than twice the number of boys. The total of 156 middle school at the camp. How to use the 5-d process? To find the number of boys and girls at the camp.

Answer 1

To find the number of boys and girls at the camp, use the 5-d process. With the given information, we can set up equations and solve for the values of B and G.

Step-by-step explanation:

To find the number of boys and girls at the camp, we can use the 5-d process:

1. Define: Let's define the variables. Let B represent the number of boys and G represent the number of girls. We are given that the total number of middle school students at the camp is 156, so we can write the equation B + G = 156.
2. Diagram: No diagram is needed for this problem.
3. Derive: We are given that the number of girls is six more than twice the number of boys. We can write the equation G = 2B + 6.
4. Develop: Substitute the value of G from the second equation into the first equation to eliminate the variable G: B + (2B + 6) = 156. Simplify the equation to 3B + 6 = 156.
5. Decide: Solve the equation to find the value of B: 3B = 150. Divide both sides of the equation by 3 to isolate B: B = 50. Substitute this value back into the second equation to find the value of G: G = 2(50) + 6 = 106.

Therefore, there are 50 boys and 106 girls at the camp.

Answer 2

g = number of girls;
b= number of boys
we know that: g= 6+2b
and that: g+b= 156 kids in total
so we may write g+b=(6+2b)+b=6+3b
but g+b= 156
so 6+3b = 156 => 3b= 156-6=150 => b=150/3=50 => b = 50 (number of boys)
g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)