Question

The ratio of number of boys and number of girls in a school is 7 : 5. If the total number of students in the school is 480, find the number of boys.
Please explain your answer.

Answer 1

Answer:

let number of boys = 7x

let number of girls = 5x

total number of students  = 7x + 5x = 480

7x + 5x = 480

12x = 480

x = 40

Boys = 7 x 40 = 280

Girls = 5 x 40 = 200

Total = 200 + 280 = 480

Hope this helps...

Answer 2

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Correct \: Question: }}}}}$

The ratio of number of boys and number of girls in a school is 7 : 5. If the total number of students in the school is 480, find the number of boys.

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Given: }}}}}$

• Total number of students = 480
• Ratio of boys and girls = 7:5

$\mathfrak{ \large{ \pink{ \underline{ \purple{ To \: Find: }}}}}$

• Number of boys

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Solution: }}}}}$

Put x in the ratio,

• Number of boys = 7x
• Number of girls = 5x

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: 7x + 5x = 480}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: 12x = 480}$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \: x = \frac{480}{12} }$

$\large{ \rm \longmapsto \: \: \: \: \: \: \: \boxed{ \mathfrak{ \green{ x = 40}}}}$

Now,

• Number of boys = 7x = 280

$\mathfrak{ \large{ \pink{ \underline{ \purple{ Hence:}}}}}$

The total number of boys in school are 280.