Question

The total number of students in a school is 1520. If the number of girls is 72
more than that of the boys, find the number of boys in the school. Also, find
the number of girls
​

Answer 1

Step-by-step explanation:

the answer is in picture.

Answer 2

This question can be solved by 2 methods:

1. Algebraic method

2. Model Drawing method

METHOD 1 : ALGEBRAIC METHOD

Define x:

Let the number of boys be x.

The number of girls = x + 72

Given:

Total number of students in the school is 1520.

Form the equation:

x + (x + 72) = 1520

Solve x:

x + (x + 72) = 1520

x + x + 72 = 1520

2x + 72 = 1520

2x = 1448

x = 724

Find the number of boys and girls:

boys = x

boys = 724

girls = x + 72

girls = 724 + 72

girls = 796

Answer: There are 724 boys and 796 girls in the school.

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METHOD 2 : MODEL DRAWING METHOD

* Refer to the attachment for the model drawing

$\text {2 units }= 1520 - 72$

$\text {2 units }= 1448$

$\text {1 unit }= 1448 \div 2$

$\text {1 unit }= 724$

$\text {boys }= 1 \text { unit}$

$\text {boys }= 724$

$\text {girls }= 1 \text { unit} + 72$

$\text {girls }= 724 + 72$

$\text {girls }= 796$

Answer: There are 724 boys and 796 girls in the school.