Question

Q3) After arranging 7500 chocolates in equal number of rows and columns. Mahesh found that some chocolates are left unplaced.. Find the number of chocolates left out.​

Answer 1

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Answer 2

ǫᴜᴇsᴛɪᴏɴ →

Q3) After arranging 7500 chocolates in equal number of rows and columns. Mahesh found that some chocolates are left unplaced.. Find the number of chocolates left out.

ᴀɴsᴡᴇʀ →

Let the number of students in the class = x

Each gets 7 chocolates when these chocolates are distributed equally among the students of a class.

So

the number of chocolates

$\longmapsto\tt{= 7 × x = 7x}$

If there were 5 more students in the class, then each would get 1 chocolate less.

number of students would be x+5

each will be getting = 7-1 = 6 chocolates

So number of chocolates

$\longmapsto\tt{ (x+5) × 6 = 6x+30}$

Since the number of chocolates is both 7x and 6x+30,

$\longmapsto\tt{7x = 6x+30}$

$\longmapsto\tt{ 7x - 6x = 30}$

$\longmapsto\tt{ x = 30}$