Question

Explain answer, I will mark the brainliest
At the Hong Kong learning center, 1/4 of the students take debate, 1/6 of the students take writing, 1/8 of the students take science. The rest take math. If 33 students take math, what is the total number of students at the learning center?

Answer 1

Step-by-step explanation:

(1/4)+(1/6)+(1/8)=13/24

rest 11/24=33

1= (33×24)/11=72

Answer 2

72 students are at the learning centre.

Given - Fraction of students in different activities

Find - Total number of students

Solution - Let the total number of students be x. So, number of students take debate = 1/4x

Number of students take writing = 1/6x

Number of students take science = 1/8x

Remaining students = $x - ( \frac{x}{4} + \frac{x}{6} + \frac{x}{8} )$

Taking LCM, we get 24

Remaining students = $x - ( \frac{6x + 4x + 3x}{24} )$

Remaining students = $x - \frac{13x}{24}$

Remaining students = $\frac{24x - 13x}{24}$

Remaining students = 11x/24

Now, as per the question, remaining students are 33. So finding the value of x.

$\frac{11x}{24} = 33$

$11x = 33 \times 24$

$11x = 792$

$x = \frac{792}{11}$

$x = 72$

So, total number of students learning at centre is 72.

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