The number of boys and girls in a class are in the ratio 7:5. The numb

1.	The number of boys and girls in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. What is the total class strength?please tell friends
Answer» <U>S O L U T I O N : $\underline{\bf{Given\::}}$ The number of boys & GIRLS in a class are in the ratio 7:5. The number of boys is 8 more than the number of girls. $\underline{\bf{Explanation\::}}$ Le the number of boys are in the ratio be 7r & LET the number of girls are in the ratio be 5r respectively . Boys = 7r Girls = 5r A/q $\mapsto\tt{7r=5r + 8}$ $\mapsto\tt{7r-5r =8}$ $\mapsto\tt{2r =8}$ $\mapsto\tt{r=\cancel{8/2}}$ $\mapsto\bf{r=4}$ Now; Number of boys = 7r = 7 × 4 = 28 boy's . Number of girls = 5r = 5 × 4 = 20 girl's . $\mapsto\sf{Total\:_{(class\:<klux>STRENGTH</klux>)} = No.\:of\:boys + No.\:of\:girls }$ $\mapsto\sf{Total\:_{(class\:strength)} = 28 + 20}$ $\mapsto\sf{Total\:_{(class\:strength)} = 48\:student's}$ Thus; The total class strength is 48 students .