At a college basketball game, the ratio of the number of freshmen who attended to the number of juniors who attended was 3 to 4. The ratio of the number of juniors who attended to the number of seniors who attended was 7 to 6. What was the ratio of the freshman to the number is senioa who attended the basketball game?
7*4=28
3*7=21
6*4=24
21:24=ratio
To find the ratio of freshmen to seniors who attended the basketball game, we first need to determine the values of the number of freshmen, juniors, and seniors.
Let's assume that the number of freshmen who attended is 3x, where x is a common ratio. Since the ratio of freshmen to juniors is 3 to 4, the number of juniors who attended would be 4x.
Next, we use the ratio of juniors to seniors, which is 7 to 6. Therefore, the number of seniors who attended would be 6/7 times the number of juniors, which gives us (6/7) * 4x = (24/7)x.
So, the ratio of freshmen to seniors who attended the basketball game would be 3x : (24/7)x or simply 3 : (24/7).
To simplify the ratio, we multiply both sides by 7 to get rid of the denominator: 3 * 7 : (24/7) * 7, which simplifies to 21 : 24.
Hence, the ratio of freshmen to seniors who attended the basketball game is 21 to 24.