Question

In A SCHOOL 5/8 of the total students are girls. if the number of girls is 120 more than that of the boys , what is the strength of the school? how many boys are there?​

Answer 1

Let the total number of students be x

Number of girls = 5/8 × x = 5x/8

Number of boys = ( total students - No.of girls)

= x - 5x/8

= (8x - 5x)/8

= 3x/8

Given ,

No. of girls = 120 more than boys

→ 5x/8 = 3x/8 + 120

→ 5x/8 - 3x/8 = 120

→ (5x - 3x)/8 = 120

→ 2x/8 = 120

→ 1x/4 = 120

→ x = 120 × 4

= 480

Total number of students ( strength of school) = 480

Number of boys = 3x/8

= 3×480/8

= 180

Answer 2

Answer -

• The number of boys is 180.
• The strength of the school is 480 students.

To find -

• The number of boys.
• The strength of the school.

Step-by-step explanation -

• Here, we have to find the strength of the school and the number of boys.

Let -

• The total number of students be "x".

Given that -

• 5/8 of the students are girls.

Now -

• No. of boys = Total students - No. of girls.

Therefore,

→ 1 - 5/8

→ (1 × 8) - (5 × 1)/8

→ 8 - 5/8

→ 3/8

Given that -

• The number of girls is 120 more than boys.

Therefore -

$\dfrac{5}{8} x = \dfrac{3}{8} x + 120$

$\dfrac{5x}{8} - \dfrac{3x}{8} = 120$

$\dfrac{2x}{8} = 120$

$2x = 120 \times 8$

$2x = 960$

$x = \cancel{\dfrac{960}{2}}$

$x = 480$

Hence -

• The total number of students is 480.

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And the number of boys is -

$\longrightarrow$ (3/8)x

$\longrightarrow$ 3/8 × 480

$\longrightarrow$ 1440/8

$\longrightarrow$ 180

Thus -

• The number of boys is 480.

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