Final answer:
To calculate how many more 6th graders are needed to reach 100% when 106 students represent 40%, divide 106 by 0.40 to find the total number of students, which is 265. Subtract the current 106 students to get the answer, which is 159 more students needed.
Step-by-step explanation:
If 106th graders represent 40% of the total number of students, to find out how many more students are needed to reach 100%, we first need to calculate the total number by dividing the number of 6th graders by the percentage they represent. Here's how we can do it:
- First, we express 40% as a decimal. To do this, we divide 40 by 100, giving us 0.40.
- Next, we take the number of 6th graders, which is 106, and divide it by 0.40 to find the total number of students. So, 106 ÷ 0.40 equals 265.
- Finally, to find out how many more students are needed to reach 100%, we subtract the current number of students from the total. So, 265 - 106 equals 159.
Therefore, you need 159 more 6th graders to reach 100%.