Q:

A school wants to add a new sports team. The school sent out surveys asking for the​ students' favorite sport. Twelve students named lacrosse. Others named swimming or volleyball. Explain how to use the circle graph and ratios to find the number of students surveyed. Then find this number.Swimming 36%Lacrosse 48%Volleyball 16%Please help. :(

Accepted Solution

A:
Answer:Total 100% or 25 studentsSwimming 36%  or 9 studentsLacrosse 48%  or 12 students Volleyball 16% or 4 studentsStep-by-step explanation:To do a circle graph, you draw a circle and divide it into all sections.To know the size of each section, you need to know the total number of every category.You could draw it with percent.100% is total, and you know the percent of each sport.They told you 12 students choose lacrosse so, this represents 48%.Now, you can find the other numbers with cross-multiplication.48%____12100%____X=X=(100x12)/48=25Total students: 25Students that named lacrosse: 12 or 48%100%____2516%____X=X=(16x25)/100=4Students that named Volleyball: 4 or 16%100%____2536%____X=X=(36x25)/100=9Students that named Swimming: 9 or 36%To confirm: 12 + 9 + 4 = 25