Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Join our platform to connect with experts ready to provide detailed answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

Sagot :

Ryan2
Situation 1:

[tex]\frac{g}{b}=2\rightarrow g=2b[/tex]

Situation 2:

[tex]\frac{g+24}{b}=5\\ \\ g+24=5b[/tex]

Replacing g in the second equation:

[tex]2b+24=5b\\ \\ 3b=24\\ \\ b=8\\ \\ g=2b\\ \\ g=16[/tex]

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
kate200468
[tex] in\ the\ class\ are\ n\ boys\ \ \ \Rightarrow\ \ 2n+24=5n\ \ \Rightarrow\ \ 3n=24\ \ \Rightarrow\ \ n=8\\\\n=8\ \ \Rightarrow\ \ 5n=5\cdot 8=40\ (girls)\\\\40+8=48\\\\Ans.\ in\ the\ class\ are\ 48\ students.[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.