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Question Number 165653 by mathlove last updated on 06/Feb/22

Commented by mr W last updated on 06/Feb/22

i thought all the time you guys are  all no primary school pupils more...

$${i}\:{thought}\:{all}\:{the}\:{time}\:{you}\:{guys}\:{are} \\ $$$${all}\:{no}\:{primary}\:{school}\:{pupils}\:{more}... \\ $$

Commented by mr W last updated on 06/Feb/22

the question seems to be the same  as Q165639...

$${the}\:{question}\:{seems}\:{to}\:{be}\:{the}\:{same} \\ $$$${as}\:{Q}\mathrm{165639}... \\ $$

Answered by alephzero last updated on 06/Feb/22

(3/7) − boys  132 girls  ⇒ 1 − (3/7) = (4/7) − girls  ⇒ 132 : (4/7) = ((132 ∙ 7)/4) = 33 ∙ 7 =   = 231 pupils altogether

$$\frac{\mathrm{3}}{\mathrm{7}}\:−\:\mathrm{boys} \\ $$$$\mathrm{132}\:\mathrm{girls} \\ $$$$\Rightarrow\:\mathrm{1}\:−\:\frac{\mathrm{3}}{\mathrm{7}}\:=\:\frac{\mathrm{4}}{\mathrm{7}}\:−\:\mathrm{girls} \\ $$$$\Rightarrow\:\mathrm{132}\::\:\frac{\mathrm{4}}{\mathrm{7}}\:=\:\frac{\cancel{\mathrm{132}}\:\centerdot\:\mathrm{7}}{\cancel{\mathrm{4}}}\:=\:\mathrm{33}\:\centerdot\:\mathrm{7}\:=\: \\ $$$$=\:\mathrm{231}\:\mathrm{pupils}\:\mathrm{altogether} \\ $$

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