2 of students in a class are girl.
3 If there are 17 boys.Find the number of the girls
Answers
Answer:
20
Step-by-step explanation:
is it correct or false
Correct Question:
2/3rd of students in a class are girls. If there are 17 boys. Find the number of the girls.
Given:
✰ 2/3rd of students in a class are girls.
✰ Number of boys in a class = 17
To find:
✠ The number of the girls in a class.
Solution:
Let's understand the concept first!
- First we will assume the total number of students in a class as x, then we know that 2/3rd of students in a class are girls, which means 2/3rd of x in a class are girls ( where "of" represents that 2/3rd will be multiplied by x ).
- We already know that the total number of boys in the class are 17.
- When we add both the number of boys and the number of girls in the class, we get the total number of students which are x.
- Thus, forming an adequate equation and doing the required calculations, we will find out the value of x.
- After that we will substitute the value of x in the number of girls to find the total number of girls in a class.
Let's find out...✧
Let the total number of students in a class be x.
Then,
⟹ Number of girls in a class = 2/3rd of total students
⟹ Number of girls in a class = 2/3rd of x
⟹ Number of girls in a class = 2/3 × x
⟹ Number of girls in a class = 2x/3
⟹ Number of boys in a class = 17
Now,
➤ Number of boys + Number of girls = Total number of students
➤ 2x/3 + 17 = x
➤ (2x + 51)/3 = x
➤ 2x + 51 = x × 3
➤ 2x + 51 = 3x
➤ 51 = 3x - 2x
➤ x = 51
∴ The total number of students in a class = 51
➛ Number of girls in a class = 2/3 × x
➛ Number of girls in a class = 2/3 × 51
➛ Number of girls in a class = 2 × 17
➛ Number of girls in a class = 34
∴ The number of girls in a class = 34
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