Question

Please help me I will mark brainliest! The ratio of the number of boys to the number of girls in a school is 3:4. One-third of the boys and three-eighths of the girls wear spectacles, If there are 612 pupils who do not wear spectacles, a)find the total number of the pupils in the school, and b) how many more girls than boys are there in the school

Answer 1

Answer:

a) 952

b) 136

Step-by-step explanation:

Ratio of b:g = 3:4, based on this we have:

• Number of boys = 3x
• Number of girls = 4x
• Total number of pupils = 3x+4x = 7x

Number of spectacle wearers:

• 1/3*3x + 3/8*4x = x + 3/2x = 2.5x

Number of those not wearing spectacles:

• 7x - 2.5x= 4.5x

And this number equals to 612, then we can find the value of x:

• 4.5 x = 612
• x= 612/4.5
• x= 136

a) Total number of pupils:

• 7x = 7*136 = 952

b) The difference in the number of boys and girls:

• 4x-3x= x = 136

Answer 2

Answer:

total number of students: 952

number of girls more than boys :136 more girls

Step-by-step explanation:

1/3 of boys +3/8 girls= spectacles

612 people do not wear spectacles

3:4= boys: girls

total number of students

3+4=7

boys + girls = total ratio

7= total ratio

1/3×3=1 3/8×4=3/2

1+3/2=5/2

7-5/2=9/2 9/2=612 students

If 9/2=612 Then 7=?

7= 7÷ 9/2×612

=952 people

Girls more than boys

if 7= 952

3= 3/7 × 952=408 boys

if 7 = 952

4= 4/7 ×952=544girls

Girls - boys

544- 408 = 136 girls