Practicing Success
The ratio of the number of boys to the number of girls in a class is 2 : 5. If 10 boys leave the class and 20 new girls join the class, then the new ratio of boys and girls in the class becomes 4 : 25. What is the number of boys in the class now? |
12 8 9 22 |
12 |
Boys : Girls 2 : 5 According to the question, 10 boys leave the class and 20 new girls join the class, then the new ratio of boys and girls in the class becomes Boys : Girls 4 : 25 ⇒ \(\frac{2x - 10}{5x + 20}\) = \(\frac{4}{5}\) ⇒ 50x - 250 = 20x + 80 ⇒ 30x = 330 ⇒ x = 11, ⇒ The number of boys in the class now = 2x - 10 = 2(11) - 10 = 22 - 10 = 12. |