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olga_2 [115]
2 years ago
8

There are 32 pupils in a class. 20 of them are girls. What is the ratio of boys to girls in it’s simplest form

Mathematics
1 answer:
Ray Of Light [21]2 years ago
7 0

Hello!

If there are 32 people in total in the class, and 20 of them are girls, that means there are 12 boys in the class

so the ratio of boys to girls is 12:20

to get simplest form, divide by the greatest common factor. which in this case, is 4.

12 / 4 = 3

20 / 4 = 5

your final answer is: boys:girls, 3:5

I hope this helps, and have a nice day!

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The square of a number is 12 less than 7 times the number. What is the number?
hjlf

<u><em>Answer:</em></u>

The number is either 3 or 4


<u><em>Explanation:</em></u>

Assume that the number we are looking for is x

The square of the number would be x²

7 times the number would be 7x


<u>We are given that:</u>

square of the number (x²) is 12 less than 7 times the number (7x)


<u>Translating this into an equation, we would have:</u>

x² = 7x - 12


<u>Rearranging the quadratic equation:</u>

x² - 7x + 12 = 0


<u>Now, we factor the equation:</u>

(x-4)(x-3) = 0


<u>This means that:</u>

either x-4 = 0 ..................> x = 4

or x-3 = 0 ........................> x = 3


<u>Let's check if any of the solutions is an extrovert:</u>

For x = 3 .............> (3)² = 7(3) - 12 .........> 9 = 21 - 12 .......> 9 = 9 .......> not extrovert

For x = 4 .............> (4)² = 7(4) - 12 .........> 16 = 28 - 12 .....> 16 = 16 ....> not extrovert


Since we have no restrictions on the number, therefore, both solutions would be accepted


Hope this helps :)


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