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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-




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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