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Question Number 147602 by puissant last updated on 22/Jul/21

Answered by Olaf_Thorendsen last updated on 22/Jul/21

$$\mathrm{Soit}\mathrm{E}\mathrm{le}\mathrm{nombre}{\mathrm{d}}^{\prime }\mathrm{eleves}.$$$$\mathrm{Soit}\mathrm{T}\mathrm{le}\mathrm{nombre}\mathrm{de}\mathrm{tables}.$$$$\{\begin{array}{l}\mathrm{E}=2\mathrm{T}+11\left(1\right)\\ \mathrm{T}=\frac{\mathrm{E}}{3}+7\left(2\right)\end{array}$$$$$$$$\mathrm{En}\mathrm{injectant}\left(2\right)\mathrm{dans}\left(1\right):$$$$\mathrm{E}=2(\frac{\mathrm{E}}{3}+7)+11$$$$\frac{\mathrm{E}}{3}=2\times 7+11=25$$$$\mathrm{E}=75\Rightarrow \mathrm{T}=\frac{75}{3}+7=32$$$$$$$$\mathrm{Il}\mathrm{y}\mathrm{a}\mathrm{donc}32\mathrm{tables}\mathrm{pour}75\mathrm{eleves}.$$

Commented by puissant last updated on 22/Jul/21

$$\mathrm{merci}\mathrm{prof}$$

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