if 65% of students are wearing t shirts and 48% are wearing jeans is this possible? Please explain.

Of course it's possible.

65% are wearing t-shirts; the other 45% are wearing other kinds of shirts.

48% are wearing jeans; the other 52% are wearing other kinds of pants or skirts.

thank you

You're welcome.

To determine if it is possible for 65% of students to be wearing t-shirts and 48% to be wearing jeans, we need to analyze the relationship between these two percentages.

First, note that the total percentage of students is 100%. Therefore, if 65% are wearing t-shirts, this leaves 100% - 65% = 35% of students who are not wearing t-shirts.

Now, if 48% of students are wearing jeans, we still have 100% - 48% = 52% of students who are not wearing jeans.

Since there can be students who are not wearing t-shirts but are wearing jeans, and students who are wearing t-shirts but not jeans, we can combine these percentages to check if they exceed the total percentage of students.

The key is to find the maximum possible percentage of students who are not wearing both t-shirts and jeans.

To do this, we find the sum of the remaining percentages: 35% + 52% = 87%.

If 87% of students are not wearing both t-shirts and jeans, it means that the remaining 13% of students can be wearing both t-shirts and jeans or neither t-shirts nor jeans.

So, for our original question, if 65% of students are wearing t-shirts and 48% are wearing jeans, it is possible since the sum of these percentages (65% + 48%) is less than the maximum possible percentage of students who are not wearing both t-shirts and jeans (87%).