Question

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Answer 1

GIVEN PROBLEM ?

The ratio of girls to the boys in a school is 4:5. If the number of girls is 1500, find the number of boys in that school. Also find the total number of children in that school.

REQUIRED ANSWER

• There are 1875 boys in the school.
• There are a total of 3375 students in the school.

EXPLANATION

$\large \: \: \: \: \: \: \: \: \: \: { \underline{ \underline{ \sf { \red{Given : - }}}}}$

• The ratio of girls to the boys in a school is 4:5.
• Number of girls in 1500.

$\large \: \: \: \: \: \: \: \: \: \: { \underline{ \underline{ \sf { \green{To \: Find : - }}}}}$

• The number of boys in that school.
• The number of students on the school.

$\large \: \: \: \: \: \: \: \: \: \: { \underline{ \underline{ \sf { \orange{Analysis: - }}}}}$

Here, we have to find number of boys first. As we know the number of students in class is 1500, we can find the number of boys easily.

Topic used- Linear Equation in one Variable.

$\large \: \: \: \: \: \: \: \: \: \: { \underline{ \underline{ \sf { \blue{Solution: - }}}}}$

✴️ According to the Question:-

$\rightarrow \sf \frac{girls}{boys} = \frac{4}{5}$

• We know the number of girls in the school.
• Let the number of boys be x.

$\implies \sf \frac{1500}{x} = \frac{4}{5}$

• By cross multiplication.

$\implies \sf {1500} \times {5} = {4}{x}$

$\implies \sf 7500 = {4}{x}$

$\implies \sf \frac{7500}{4} = {x}$

$\implies \sf 1875= {x}$

☃️So, there are 1875 boys in the school.

✴️Now, let us find the number of students in the school.

$\rightarrow \sf boys + girls = no. \: of \: students$

$\implies \sf 1875 + 1500= no. \: of \: students$

$\implies \sf 1875 + 1500= 33750$

☃️So, there are 3375 students in the school.

______________________

Answer 2

Answer:

Total number of boys in school 1875.

Total number of students in school 3375.

Explanation:

Since

$\dfrac{ no.\ of\ girls}{no.\ of\ boys} = \dfrac{4}{5}$

Now let the number of girls = 4x   -(i)

So, no. of boys = 5x                      --(ii)

According to question,

The number of girls = 1500 = 4x

Solving for x returns 15*25 = 375

Using this value of x in (ii)  

No. of boys = 5 * 375 = 1875

Total number of students in school =  number of girls + number of boys

= 1500+1875

=3375