How many boys are there in the class if the number of boys in the class is 8…
2023
How many boys are there in the class if the number of boys in the class is 8 more than the number of girls in the class, which is five times the difference between the number of girls and boys in the class.
- A.
40
- B.
70
- C.
65
- D.
35
Attempted by 12 students.
Show answer & explanation
Correct answer: A
Let the number of boys be b and the number of girls be g.
From the problem: boys are 8 more than girls, so b = g + 8.
The statement also says the number of boys is five times the difference between the number of boys and girls, so b = 5(b - g).
From b = g + 8 we get b - g = 8.
Substitute into b = 5(b - g): b = 5 × 8 = 40.
Therefore, the number of boys in the class is 40.