Question

To emphasize the importance of fitness, K V has made one mandatory period of sports daily. Currently school is having facilities only for football and basketball, there are 4 y2 + y -8 students of class VIII, if 2 y + 16 students play football, how many opt basketball? It is compulsory for each student to play one game.
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Answer 1

$Number \: of \: students \: in \: class \: VIII \\= 4y^{2} + y - 8\: --(1)$

$Number \: of \: students \: who \: play \\football = 2y + 16 \: --(2)$

$Now, \:Number \: of \: students \: who \: play \\basketball =(1) - (2) \\=4y^{2} + y - 8 - ( 2y + 16 )\\= 4y^{2} + y - 8 - 2y - 16 \\= 4y^{2} + y - 2y - 8 - 16 \\= 4y^{2} - y - 24$

Therefore.,

$\red{Number \: of \: students \: who \: play}\\\red{basketball } \green { = 4y^{2} - y - 24 }$

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