Knowing that there is a total of 250 6th grade students that participated in the challenge:
a. You can identify that:
-The percentage of students that participated in lifting leights is 8%.
A percent can be written as a decimal number by dividing it by 100:
[tex]\frac{8}{100}=0.08[/tex]
Therefore, the number of students that participated in that exercise is:
[tex](250)(0.08)=20[/tex]
- The percentage of students that participated in running is 30%.
Therefore, the number of them that participated in this exercise is:
[tex](250)(\frac{30}{100})=75[/tex]
- Notice that the percentage of students that participated in swimming is 5%.
Hence, the number of them that participated in this exercise is:
[tex](250)(\frac{5}{100})\approx13[/tex]
b. Notice that the number of students who chose walking is:
[tex](250)(\frac{17}{100})\approx43[/tex]
Therefore, the total number of students that chose swimming, walking, and lifting weight is:
[tex]13+43+20=76[/tex]
Notice that that number is greater than the number of students who chose running.
Hence, the answers are:
a. Lifting Weights:
[tex]20\text{ students}[/tex]
Running:
[tex]75\text{ students}[/tex]
Swimming:
[tex]13\text{ students}[/tex]
b. Joseph is right, because there are 76 students who chose swimming, walking, and lifting weights, and there are 75 students who chose running.
