Question

В школе 92 пятиклассника, причём девочек на 16 меньше чем мальчиков. Сколько мальчиков и сколько девочек в пятых классах РЕШИТЬ ДВУМЯ СПОСОБАМИ​

Answer 1

Ответ:

1 способ:

1)92-16=76(чел.)удвоенное число девочек в пятом классе.

2)76:2=38(чел.)девочек в пятом классе.

3)38+16=54(чел.) в пятом классе мальчиков.

2 способ:

x-мальчиков

х-16 девочек

х+х-16=92

2х=92+16

2х=108

х=108:2

х=54 мальчиков в пятом классе

54-16=38 девочек 5 классе

Answer 2

Problem Analysis

We are given that in a certain class at School 92, there are 16 fewer girls than boys in the fifth grade. We need to determine the number of boys and girls in the class using two different methods.

Method 1: Algebraic Approach

Let's assume the number of boys in the fifth grade is B and the number of girls is G. According to the given information, we have the following equation:

G = B - 16

We also know that the total number of students in the fifth grade is the sum of the number of boys and girls:

B + G = Total number of students

To solve this system of equations, we can substitute the value of G from the first equation into the second equation:

B + (B - 16) = Total number of students

Simplifying the equation, we get:

2B - 16 = Total number of students

Now, we need to know the total number of students in the fifth grade to find the values of B and G.

Method 2: Trial and Error Approach

Another way to solve this problem is by using trial and error. We can start by assuming a value for the number of boys and then calculate the number of girls based on the given information.

Let's assume there are 20 boys in the fifth grade. Using the given information, we can calculate the number of girls:

G = B - 16 = 20 - 16 = 4

So, if there are 20 boys, there are 4 girls in the fifth grade.

Now, let's check if this solution satisfies the condition that the total number of students in the fifth grade is the sum of the number of boys and girls:

20 + 4 = 24

If the total number of students matches the given value, then our solution is correct. Otherwise, we can try a different value for the number of boys and repeat the process until we find a solution that satisfies the condition.

Conclusion

Using the algebraic approach, we can solve the problem by finding the total number of students in the fifth grade and then calculating the number of boys and girls. Alternatively, we can use the trial and error approach by assuming a value for the number of boys and calculating the number of girls based on the given information. In this case, assuming there are 20 boys in the fifth grade, we find that there are 4 girls.