1) A group of students surveyed chose baseball and soccer in the ratio of 2: 8. If 120 students were surveyed, find the number of students that chose soccer as their favorite sport
If 8x chose soccer, then
2x+8x = 120
x = 12
so 96 chose soccer
To find the number of students that chose soccer as their favorite sport, we first need to determine the ratio between baseball and soccer.
The ratio of baseball to soccer is given as 2:8. This means that for every 2 students who chose baseball, there are 8 students who chose soccer.
Since the total number of students surveyed is 120, we can determine the number of students who chose soccer as follows:
1) Calculate the total number of parts in the ratio: 2 + 8 = 10
2) Determine the number of parts that represent soccer: (8/10) * 120 = 96
Therefore, 96 students chose soccer as their favorite sport.