At the beginning of the year, the ratio of juniors to seniors in high school X was 5 to 6. During the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of juniors to seniors was 6 TO 7, how many juniors were there in high school X at the beginning of the year? Options:
A) 250 B) 100 C) 260 D) 110 E) 120
let the total number of juniors and seniors at the beginning of the year be 5x and 6x respectively.   now 10 juniors and 20 seniors are transferred to another school. thus no. of juniors and seniors students left in the school X are 5x-10 and 6x-20 respectively. the ratio of these juniors and seniors students = 6/7   thus we have (5x-10)/(6x-20) = 6/7   35x-70=36x-120   x=50   thus total no. of seniors at the beginning of the year =5(50)=250   250nswer:option 250
<result>A</result>
At the beginning of the year, the ratio of juniors to seniors in high school X was 5 to 6. During the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X. If, at the end of the year, the ratio of juniors to seniors was 6 TO 7, how many juniors were there in high school X at the beginning of the year?