Question

PARK CLEANING:- Inspired by the “Swachh Bharat mission”, Priya and her friends Sunita, Kavya and Hema decided to clean their society park. Her friends clean 2/5, 1/3 and 1/4 part of the park respectively. Using this data answer the following questions 19 & 20.

Q59. How much part of the park will be left for Priya to clean? *​

Answer 1

$Let \: total \: area \: of \: a \: park = x\: square \: unit\: ---(1)$

$Part \: of \: park \: cleaned \: by \: Sunitha \\= \frac{2}{5} x\: ---(2)$

$Part \: of \: park \: cleaned \: by \: Kavya \\= \frac{1}{3} x\: ---(3)$

$Part \: of \: park \: cleaned \: by \: Hema \\= \frac{1}{4} x\: ---(3)$

$\red{ Part \: of \:the \:park \:will \:be \:left \: for}\\\red{Priya \: to \:clean } \\= (1) - (2) - (3) - (4) \\= x - \frac{2x}{5} - \frac{x}{3} - \frac{x}{4} \\= \frac{60x - 24x - 20x - 15x}{60} \\= \frac{ 60x - 59x}{60} \\= \frac{x}{60}$

Therefore.,

$\red{ Part \: of \:the \:park \:will \:be \:left \: for}\\\red{Priya \: to \:clean } \\\green { = \frac{1}{60}\:part \:of \: total \: park }$

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