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Question Number 89898 by Ar Brandon last updated on 19/Apr/20

In a classroom when the students sit  2 per bench, 11 students are left with  no sits. And when they sit 3 per bench  7 benches are left empty. Determine the number  of students in this classroom.

$${In}\:{a}\:{classroom}\:{when}\:{the}\:{students}\:{sit} \\ $$$$\mathrm{2}\:{per}\:{bench},\:\mathrm{11}\:{students}\:{are}\:{left}\:{with} \\ $$$${no}\:{sits}.\:{And}\:{when}\:{they}\:{sit}\:\mathrm{3}\:{per}\:{bench} \\ $$$$\mathrm{7}\:{benches}\:{are}\:{left}\:{empty}.\:{Determine}\:{the}\:{number} \\ $$$${of}\:{students}\:{in}\:{this}\:{classroom}. \\ $$

Commented by MJS last updated on 19/Apr/20

s=2b+11  b=(s/3)+7  ⇒ 75 students and 32 benches

$${s}=\mathrm{2}{b}+\mathrm{11} \\ $$$${b}=\frac{{s}}{\mathrm{3}}+\mathrm{7} \\ $$$$\Rightarrow\:\mathrm{75}\:\mathrm{students}\:\mathrm{and}\:\mathrm{32}\:\mathrm{benches} \\ $$

Commented by Ar Brandon last updated on 20/Apr/20

cool!

$${cool}! \\ $$

Commented by Ar Brandon last updated on 20/Apr/20

Do you have an idea on how to proceed with Q89906 please?

$${Do}\:{you}\:{have}\:{an}\:{idea}\:{on}\:{how}\:{to}\:{proceed}\:{with}\:{Q}\mathrm{89906}\:{please}? \\ $$

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