Question

How many People choose kiwi? (Express in terms of x) =​

Answer 1

SOLUTION

COMPLETE QUESTION

A group of ‘x’ people were asked to choose their favourite fruit. One fourth chose kiwi, one third chose banana and two fifth chose orange and three people chose grapes. , Based on the situation described above, answer the questions from 1 to 4.

1. How many People choose kiwi? (Express in terms of x) = ______________________

2. How many People choose orange? (Express in terms of x) = _____________________

3. Express the above situation in terms of equation = _____________________

4. How many people were there in the above group = _____________________

EVALUATION

Total number of people in the group = x

1. Since One fourth chose kiwi

Hence the number of People choose kiwi

$\displaystyle \sf \: = \frac{x}{4}$

2. Since two fifth chose orange

Hence the number of People choose orange

$\displaystyle \sf \: = \frac{2x}{5}$

3. By the given condition

$\displaystyle \sf \: \frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x$

Which is the required equation

4. We now solve the above equation

$\displaystyle \sf \: \frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x$

$\displaystyle \sf \implies \: x - \frac{x}{4} - \frac{x}{3} - \frac{2x}{5} = 3$

$\displaystyle \sf \implies \: \frac{60x - 15x - 20x - 24x}{60} = 3$

$\displaystyle \sf \implies \: \frac{x}{60} = 3$

$\displaystyle \sf \implies \: x = 60 \times 3$

$\displaystyle \sf \implies \: x =180$

The number of people were there in the above group = 180

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