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. 1 ONE FOURTH CHOOSE KIWI ONE THIRD CHOOSE BANANA THREE PEOPLE CHOOSE GRAPES AND TWO FIFTH CHOOSE ORANGE Based on the situation described above, answer the questions from 1 to 4. 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​

Answer 1

Step-by-step explanation:

Given: 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.

To find: 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 ?

Solution:

As there are total x people in the group.

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

Ans: As one fourth choose kiwi.

Thus,

$\frac{x}{4}$ people choose kiwi.

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

Ans:As two fifth choose orange.

Thus,

$\frac{2x}{5}$ people choose orange.

3. Express the above situation in terms of equation.

Ans:

$\bf \frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x$

4. How many people were there in the above group ?

Ans:

$\frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x \\ \\ \frac{x}{4} + \frac{x}{3} + \frac{2x}{5} = x - 3 \\ \\ \frac{15x + 20x + 24x}{60} = (x - 3) \\ \\15x + 20x + 24x = 60(x - 3) \\ \\59x = 60x - 180 \\ \\ 59x - 60x = - 180 \\ \\ - x = - 180 \\ \\ x = 180$

There are total 180 people in the group.

Final answer:

$1) \frac{x}{4} \\ \\ 2) \frac{2x}{5}$

$3) \frac{x}{4} + \frac{x}{3} + \frac{2x}{5} + 3 = x$

$4)x = 180$

Hope it helps you.

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