Final answer:
To find the number of students in the sixth grade, set up a proportion using the given information. Solve the proportion to find the total number of sixth graders.
Step-by-step explanation:
To find the number of students in the sixth grade, we need to use the information given.
We know that 70% of sixth graders wore athletic shoes on the first day of school, and the number of students who wore athletic shoes was 35. We can set up a proportion to solve for the total number of sixth graders.
Let x be the total number of sixth graders. We can set up the proportion: 35/70% = x/100%.
To solve this proportion, we cross multiply: 35 * 100% = 70% * x.
Then, we can simplify: 35 * 100 = 70x. Divide both sides by 70 to isolate x: x = 50.
Therefore, there are 50 students in the sixth grade.