OUT OF 1200 PUPILS IN A SCHOOL 900 ARE BOYS AND THE REST ARE GIRLS. IF 20 % OF THE BOYS AND 30 % OF THE GIRLS WEAR SPECTACLES, FIND HOW MANY PUPILS IN ALL WEAR SPECTACLES AND WHAT PERCENT OF THE TOTAL NUMBER OF PUPILS WEAR SPECTACLES.
boys wearing glasses = .2(900) = 180
girls wearing glasses = .3(300) = 90
total wearing glasses = 270
percentage of total wearing glasses = 270/1200 = .225 or 22.5%
22.5%
In 1,200 students only 330 students wear spectacles then among 100 students the number will be 27.5 that means 27.5% students wear spectacles.
are you sure I just checked my again, but I got the same thing I might be doing something wrong.
yes I was right
To solve this problem, we will first calculate the number of boys and girls wearing spectacles separately, and then find the total number of pupils wearing spectacles and the percentage.
Step 1: Find the number of boys wearing spectacles
Out of 900 boys, 20% wear spectacles.
Number of boys wearing spectacles = (20/100) * 900
= 0.2 * 900
= 180 boys wearing spectacles.
Step 2: Find the number of girls wearing spectacles
The total number of pupils in the school is 1200.
Number of boys = 900 (given)
Therefore, number of girls = 1200 - 900
= 300 girls
Out of 300 girls, 30% wear spectacles.
Number of girls wearing spectacles = (30/100) * 300
= 0.3 * 300
= 90 girls wearing spectacles.
Step 3: Find the total number of pupils wearing spectacles
Total number of pupils wearing spectacles = Number of boys wearing spectacles + Number of girls wearing spectacles
= 180 + 90
= 270 pupils wearing spectacles.
Step 4: Find the percentage of pupils wearing spectacles
Percentage of pupils wearing spectacles = (Number of pupils wearing spectacles / Total number of pupils) * 100
= (270 / 1200) * 100
= 0.225 * 100
= 22.5%
Therefore, out of 1200 pupils, 270 pupils wear spectacles, which is 22.5% of the total number of pupils.