A group consisted of 2 girls for every boy. Then, 24 more girls joined the class, resulting in 5 girls for every boy. How many students are in the class now?

in t h e c l a ss a re n b oys ⇒ 2 n + 24 = 5 n ⇒ 3 n = 24 ⇒ n = 8 = 8 ⇒ 5 n = 5 ⋅ 8 = 40 ( g i r l s ) 40 + 8 = 48 A n s . in t h e c l a ss a re 48 s t u d e n t s .

Answered by kate200468 | 2024-06-10

Situation 1:
b g ​ = 2 → g = 2 b
Situation 2:
b g + 24 ​ = 5 g + 24 = 5 b
Replacing g in the second equation:
2 b + 24 = 5 b 3 b = 24 b = 8 g = 2 b g = 16
In the Situation 1 there was 16 girls and 8 boys = 24 persons In the Situation 2 there are 40 girs + 8 boys = 48 persons

Answered by Ryan2 | 2024-06-10

Initially, there are 8 boys and 16 girls in the class. After 24 more girls join, the total number of students becomes 48. Therefore, now there are 40 girls and 8 boys in the class.
;

Answered by kate200468 | 2024-12-21