In a class, the ratio of the number of girls to boys is 5:4. If only 15 more girls had enrolled in the class, the ratio would have been 25:8. How many girls are in the class?
- Ratio of Girls(G) to Boys(B): \(5:4 = G:B\)
- \(\frac{5}{4} = \frac{G}{B}\)
- B = 0.8G
- If there are 15 more girls: \(25:8 = G+15:B\)
- \(\frac{25}{8} = \frac{15+G}{B}\)
- \(\frac{25}{8} = \frac{15+G}{0.8G}\)
- \(2.5G = {15+G}\)
- \(G = 10\)
- \(B = 0.8(10) = 8\)
- Total Students = 10 + 8 = 18