To find the number of students surveyed, use the ratio of the portion naming lacrosse in the circle graph (given as 21 students) to the total fraction representing all students who participated in the survey. The total number of surveyed students is 63.
To determine the total number of students surveyed, you can utilize the information provided by the circle graph and ratios. The circle graph indicates that 21 students named lacrosse as their favorite sport, which represents a certain fraction of the total surveyed students. To find the total number of students, you can set up a ratio where the portion naming lacrosse (21 students) is a fraction of the entire circle, and this fraction is equivalent to the ratio of lacrosse students to the total surveyed students. If the fraction of lacrosse students is one-third of the entire circle, you can set up the equation (21 students / Total surveyed students) = (1/3).
By cross-multiplying and solving for the total number of surveyed students, you find that 21 students naming lacrosse is one-third of the total surveyed students, resulting in a total of 63 surveyed students. Therefore, using the circle graph and ratios allows you to deduce the overall number of students who participated in the survey, providing a comprehensive understanding of the preferences within the school regarding favorite sports.