Question

Mr. Cho received a container of fresh eggs. He sold 1/3 of the eggs in the morning and sold 320 eggs in the afternoon. At the end of the day, he found that 1/4 of the egs were not sold. How many eggs did he receive in the beginning?

Answer 1

Total eggs be x

Form a equation

• x-x/3-320=x/4
• x-320=x/4+x/3
• x-320=7x/12
• 12x-3840=7x
• 5x=3840
• x=768

Answer 2

768

Explanation:

Define the variable:

• Let x be the number of eggs Mr Cho received in the beginning.

Given information:

• Mr Cho sold 1/3 of the eggs in the morning.
• Mr Cho sold 320 eggs in the afternoon.
• At the end of the day, Mr Cho found that 1/4 of the eggs were not sold.

Create an equation with the defined variable and the given information:

`\implies x - (1)/(3)x-320=(1)/(4)x`

Solve for x:

`\implies (2)/(3)x-320=(1)/(4)x`

`\implies (2)/(3)x-320-(1)/(4)x=(1)/(4)x-(1)/(4)x`

`\implies (5)/(12)x-320=0`

`\implies (5)/(12)x-320+320=0+320`

`\implies (5)/(12)x=320`

`\implies 12 \cdot (5)/(12)x= 12 \cdot 320`

`\implies 5x=3840`

`\implies (5x)/(5)=(3840)/(5)`

`\implies x=768`

Therefore, Mr Cho received 768 eggs in the beginning.