in a class of 30 students. 10 students wear spectacles and 16 girls. there 8 boys who do not wear spectacles. How many girls wear spectacles?
16 girls, so 14 boys ... (30 - 16)
6 boys wear spectacles ... (14 - 8)
4 girls wear spectacles ... (10 - 6)
To find the number of girls who wear spectacles, we need to subtract the number of boys who do not wear spectacles from the total number of students who wear spectacles.
Total students = 30
Students who wear spectacles = 10
Girls = 16
Boys who do not wear spectacles = 8
Number of girls who wear spectacles = Total students who wear spectacles - Boys who do not wear spectacles
Number of girls who wear spectacles = 10 - 8
Number of girls who wear spectacles = 2
Therefore, there are 2 girls who wear spectacles.
To find out how many girls wear spectacles, we need to break down the given information step by step.
Step 1: Total number of students in the class is 30.
Step 2: Out of these 30 students, we know that 10 students wear spectacles.
Step 3: We also know that there are 16 girls in the class.
Step 4: From the given information, we are given that there are 8 boys who do not wear spectacles.
Now, let's calculate the number of girls who wear spectacles:
Total number of students wearing spectacles = 10 students.
Out of these 10 students, some are girls and some are boys.
Number of boys wearing spectacles = Total number of students wearing spectacles - Number of girls wearing spectacles.
Number of boys wearing spectacles = 10 - x, where x represents the number of girls wearing spectacles.
We are given that there are 8 boys who do not wear spectacles, so the number of boys wearing spectacles must be:
Number of boys wearing spectacles = Total number of boys - Number of boys who do not wear spectacles.
Number of boys wearing spectacles = Total number of boys - 8.
Total number of boys = Total number of students - Total number of girls.
Total number of boys = 30 - 16 = 14.
Now we can substitute the values to find x (number of girls wearing spectacles):
10 - x = 14 - 8
10 - x = 6
-x = 6 - 10
-x = -4
x = 4
Therefore, there are 4 girls who wear spectacles in the class.