Solve this problem plz...

A shopkeeper buys some eggs at 15 cent each.6 of them are broken.while rest are sold at 20 cent each if he makes a profit of $4.8.find eggs he bought?

cost is 15x, so

20(x-6) = 15x+480

To solve this problem, we need to use the given information and set up equations. Let's start by defining the unknowns:

Let x be the number of eggs the shopkeeper bought.
Let y be the total cost of the eggs (in cents).

We are given the following information:
1. The cost per egg is 15 cents.
2. 6 eggs are broken.
3. The remaining (x - 6) eggs are sold at 20 cents each.
4. The shopkeeper makes a profit of $4.8, which is equivalent to 480 cents.

Now, let's set up the equations:

1. Cost Equation: y = 15x (since each egg costs 15 cents)
2. Profit Equation: 480 = (20 * (x - 6)) - y (profit is the difference between the selling price and the cost)

Let's solve these equations:

First, substitute y = 15x from the Cost Equation into the Profit Equation:

480 = (20 * (x - 6)) - 15x
480 = 20x - 120 - 15x (distributing the 20)
480 = 5x - 120 (combining like terms)

Now, let's isolate x by moving the constant term to the other side:

480 + 120 = 5x
600 = 5x

Divide both sides by 5:

600/5 = x
120 = x

Therefore, the shopkeeper bought 120 eggs.

To solve this problem, we will use algebraic equations. Let's break down the information given:

Let's assume the shopkeeper bought "x" eggs.
The cost price of each egg is 15 cents.
Therefore, the total cost of eggs bought is 15x cents.

Out of "x" eggs, 6 were broken, so the remaining number of eggs to be sold is (x - 6).

The selling price of each egg is 20 cents.
Therefore, the total selling price of the remaining eggs is 20(x - 6) cents.

The shopkeeper made a profit of $4.8. Since 1 dollar is equal to 100 cents, the profit can be expressed as 480 cents.

According to the given information, the profit made is equal to the selling price minus the cost price of the eggs:
Profit = Selling Price - Cost Price

480 = 20(x - 6) - 15x

Now, let's solve this equation to find the value of "x":

480 = 20x - 120 - 15x
480 = 5x - 120
5x = 480 + 120
5x = 600
x = 600 / 5
x = 120

Therefore, the shopkeeper bought 120 eggs.

Can u explain it