4: Students of a class have been divided into two groups in the ratio

1.	4: Students of a class have been divided into two groups in the ratio 7:13. If the first groupconsists of 70 students, how many students are there in the class?
Answer» GIVEN:- Student of Class is divided into two groups. Ratio is 7:13. First Group Consist of 70 Student. TO FIND:- Total number of Student in the Class. EXPLANATION:- LET the ratio be x and y $\rm{First\:Group=<klux>7X</klux>}$ $\rm{Second\:Group=13y}$ Comparing the both. $\rm{13y=7x}$ $\rm{y=\dfrac{13}{7}x}$ Atq. it is stated that First group has 70 students so x will also be 70. Now, $\rm{y=\dfrac{13}{\cancel{7}}\times{\cancel{70}}}$ $\rm{y=13×10=130Students}$ So, Second Group consist of 130 Student. Now, $\rm{x+y= Total\:Number\:of\:Student}$ $\rm{70+130=<klux>200</klux> Student}$ . Hence, The total Number of Student is 200 Student. VERIFICATION:- $\rm{7x+13x=200}$ $\rm{20x=200}$ $\rm{x=\dfrac{200}{20}}$ $\rm{x=10 Student}$ First group student =7x= 7×10=70Student. Second group Student= 13×10=130 Student.