Question

4 painters are required to paint a house in 5 days. how many painters are needed to paint house in 1 day​

Answer 1

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt 4\: painters \:are\: required\: to\: paint\: a\: house\: in\: 5\: days.$

$\tt 1) \:How\: many \:painters\: are\: needed\: to\: paint\: house\\\tt in \:1\: day.$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf 4\: painters \:are\: required\: to\: paint\: a\: house\: in\: 5\: days.$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf (i) \:How\: many \:painters\: are\: needed\: to\: paint\: house \: in \:1\: day.$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\color {springgreen} \underline {\sf (i) \:How\: many \:painters\: are\: needed\: to\: paint\: house \:in \:1\: day.}}$

${\color{gold}{\mathfrak {Let \: the \: number \: of \: painters \:required\: be \: x}}}$

${\color {blue} {\boxed {\boxed {\boxed { \color{green}{\sf \bf a:b::c:d\longrightarrow \dfrac{a}{b} = \dfrac{c}{d}}}}}}}$

$\sf \bf \implies 4:1::x:5$

$\sf \bf \implies \dfrac{4}{1}=\dfrac{x}{5}$

$\sf \bf \implies 1 \times x = 4 \times 5$

$\sf \bf \implies 1x=20$

$\sf \bf \implies x=\dfrac{20}{1}$

$\implies {\color {orange} {\boxed {\boxed {\color {aqua} {\sf \bf x=20 \:painters}}}}}$

${\underbrace {\color {red} {\underline {\color {red} {\overline {\color {red} {\sf \therefore 20 \:painters\: are\: needed\: to\: paint\: house \: in \:1\: day}}}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

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$\sf \bf\huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

${\color {brown} {\sf Identity}}$

$\sf \bf a:b::c:d\longrightarrow \dfrac{a}{b} = \dfrac{c}{d}$

Answer 2

Answer:

$\\ ⟹4:1::x:5</p><p></p><p> \\ \sf \bf \implies \dfrac{4}{1}=\dfrac{x}{5}⟹14=5x</p><p></p><p> \\ \sf \bf \implies 1 \times x = 4 \times 5⟹1×x=4×5</p><p></p><p> \\ \sf \bf \implies 1x=20⟹1x=20</p><p></p><p> \\ \sf \bf \implies x=\dfrac{20}{1}⟹x=120</p><p></p><p> \\ \implies {\color {orange} {\boxed {\boxed {\color {aqua} {\sf \bf x=20 \:painters}}}}}⟹x=20painters</p><p></p><p> \\ {\underbrace {\color {red} {\underline {\color {red} {\overline {\color {red} {\sf \therefore 20 \:painters\: are\: needed\: to\: paint\: house \: in \:1\: day}}}}}}} \\ ∴20paintersareneededtopainthousein1day</p><p></p><p></p><p>$