Question

43% of the students in a school are girls. If the number of boys is 1482, then find:
1. the total strength of the school
2. number of girls in the school. ​

Answer 1

Answer:

2600

total students=1428 multiply 100 divide ➗ 57

Answer 2

Answer:

If 43% are girls,then the remaining is boys,that is

100-43=57% is boys

1)

that is 57% of a number (total strength) =1482

therefore the equation is

$\frac{57}{100} \times x = 1482 \\ \frac{57x}{100} = 1482 \\ 57x = 1482 \times 100 = 148200 \\ 57x = 148200 \\ x = 148200 \div 5 7\\ x = 2600$

therefore the total strength of the School is 2600

2) Number of girls=

we've 43% of girls, therefore the equation is

$\frac{43}{100} \times 2600 \\ = 43 \times 26 \\ = 1118$

therefore the number of girls = 1118

and let's whether it's correct or not

we've the add number of students,and result should be 2600

1118+1482=2600

2600=2600

hence proved

hope it helps