Question

12. The student-teacher ratio in a school is 45 : 2. If there are 4050 students in the school,how many teachers are there in the school?
the answer is 180.​

Answer 1

Answer:

180 is the answer for the question

Answer 2

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

$\tt 12\big).\: The\: student\:-\:teacher \:ratio\: in\: a \:school\\\tt is \:45:2.\: If \:there\: are\: 4050\: students \:in \:the\\\tt school\:,how\: many\: teachers\: are\: there\: in \:the\\\tt school\:? \big(the\: answer\: is\: 180\big).$

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

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

$\sf \bf The\:ratio \:of\:students - teachers =45:2$

$\sf \bf Number \:of\:students \:in \:school =4050$

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

$\sf \bf Number \:of \:teachers \:in \:school$

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

${\color{orange} \underline {\tt Let\:the \:number \:of\:teachers \:in\:school \:be \:x}}$

$\sf \bf \implies 45:2=4050:x$

$\sf \bf \implies \dfrac{45}{2}=\dfrac{4050}{x}$

$\sf \bf \implies 45x=8100$

$\sf \bf \implies x=\dfrac{8100}{45}$

$\implies{\boxed {\boxed {\color {blue} {\sf \bf x=180}}}}$

${\color{purple} \underline {\tt \therefore \:The \:number \:of\:teachers \:in\:school \:are \:180}}$

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

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

${\color {green} {\tt Identities}}$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$