please help me>>>?

Let the number of eggs he bought = x

"a grocer buys some eggs at tk.3 each"

Cost of eggs = tk. 3x

"...12 of them are broken. but he sells the other..."

Number of eggs sold = (x - 12)

"...at tk. 4 each..."

Money paid for eggs = tk. 4(x - 12) = tk. 4x - 48

"and makes profit of tk 96..."

{profit = selling price - cost price}

profit (in tk.)

96 = 4x - 48 - 3x

96 = x - 48

96 = x - 48

"how many eggs did he buy?"

x = 96 + 48

x = 144 eggs

Problems like this have 2 kinds of fact:

1) The NUMBER of eggs bought and sold

2) The monetary VALUE of the eggs bought and sold

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First find a way to express the NUMBER of eggs

Let x equal the number of eggs he bought.

# bought . . . . . . . . . . .x ← the number of eggs he bought

Minus 12 broken . . . . x - 12 ← the number of eggs he sold

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Now find a way to express the VALUE of the eggs bought and sold

Value of x number of eggs BOUGHT     @ tk. 3 ea . . . ..tk. 3x

Value of (x - 12) number of eggs SOLD @ tk. 4 ea . . . . tk. 4(x - 12)

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The profit is

[the value of the eggs sold] - [the value of the eggs bought] = profit

[ . . . . . . tk. 4(x - 12) . . . . .] - [ . . . . . . . . . .tk. 3x . . . . . . . . ] = tk. 96

. . . .4(x - 12) . . . . - 3x . . . = 96

Solve for x, already defined as "the number of eggs bought"

4(x - 12) - 3x = 96

1) Clear the parentheses by distributing the 4

4x - 48 - 3x = 96

2) Combine like terms

x - 48 = 96

3) Add 48 to both sides to isolate x, already defined as "the number of eggs he bought"

x = 144

Answer:

He bought 144 eggs

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Check

He sold 144 eggs - 12 broken ones . . . . 132 sold

He bought 144 eggs . . . . . . . . . . . . . . . . 144 bought

132 sold     @ tk. 4 ea . . . .tk. 528

144 bought @ tk. 3 ea . . . .tk. 432

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Profit . . . . . . . . . . . . . . . . . tk.   96  ✓

none he ate any of them before buying! and this can't be a wrong answer because you can play a trick the other way to!

7 eggs