A student on his birthday distributed on an average $5$ chocolates per student. If on the arrival of the teacher and the headmaster to whom the student gives $10$ and $15$ chocolates respectively, the average chocolate distributed per head increases to $5.5$ ,then what is the number of students in the class?

28

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Solution

The correct option is A $28$
Suppose strength of class $=$ x
$∴ 5 x + 10 + 15 = 5.5 (x + 2)$
$5 x + 25 = 5.5 x + 11$
$25 - 11 = 5.5 x - 5 x$
$14 = 0.5 x$
$28 = x$
$∴$ Total strength $= 28$ .

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The correct option is A 28Suppose strength of class=x∴5x+10+15=5.5(x+2)5x+25=5.5x+1125−11=5.5x−5x14=0.5x28=x∴ Total strength=28.

The correct option is A $28$
Suppose strength of class $=$ x
$∴ 5 x + 10 + 15 = 5.5 (x + 2)$
$5 x + 25 = 5.5 x + 11$
$25 - 11 = 5.5 x - 5 x$
$14 = 0.5 x$
$28 = x$
$∴$ Total strength $= 28$ .