Total eggs received: x

Eggs sold in the morning: 1/3(x)

Eggs sold in the afternoon: 320

Eggs not sold: 1/4 (x)

Equation:

x = 1/3(x) + 1/4 (x) + 320

LCD: (3)(4)

Multiply each term by LCD, then simplify:

(3)(4)x = (3)(4) (1/3) x + (3)(4)(1/4)x + 320 (4)(3)

12x = 4x + 3x +

12x = 7x + 3,840

12x - 7x = 3,840

5x = 3,840

5x/x = 3,840

**x = 768**

**Answer: The shop keeper received 768 eggs.**

Check:

Eggs sold in the morning: 1/3 (768) = 256 eggs

Eggs not sold: 1/4 (768) = 192 eggs

Eggs sold in the afternoon = 320 eggs

Add:

256 + 192 + 320 = 768

768 = 768 √