had certain number of chocolates. Out of the 60% of the chocolates with A, he gave 80% of the chocolates to B and the remaining to C. If the difference between the number of chocolates left with A and the number of chocolates with B IS 144, then find the total number of chocolates A had.

 

Let's solve the problem step by step.

### Step 1: Define the total number of chocolates A initially had
Let the total number of chocolates A initially had be \( x \).

### Step 2: Calculate the chocolates left with A after giving away 60%
A gives away 60% of his chocolates, so he is left with:
\[
\text{Chocolates left with A} = 0.4x
\]

### Step 3: Calculate the chocolates given to B
A gives 80% of the 60% of chocolates to B, so B receives:
\[
\text{Chocolates given to B} = 0.8 \times 0.6x = 0.48x
\]

### Step 4: Calculate the remaining chocolates from the 60% given to C
The remaining chocolates from the 60% were given to C, so C receives:
\[
\text{Chocolates given to C} = 0.6x - 0.48x = 0.12x
\]

### Step 5: Establish the given condition
The problem states that the difference between the number of chocolates left with A and the number of chocolates with B is 144:
\[
\text{Difference} = \text{Chocolates with B} - \text{Chocolates left with A}
\]
This gives us:
\[
0.48x - 0.4x = 144
\]

### Step 6: Solve the equation
Simplify the equation:
\[
0.08x = 144
\]
Solve for \( x \):
\[
x = \frac{144}{0.08} = 1800
\]

### Conclusion
The total number of chocolates A had is \( \boxed{1800} \).

Would you like more details on any step, or do you have any other questions?

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Here are five related questions:

1. If A had initially 2400 chocolates, how many would B receive?
2. What would be the new difference if A gave 90% of his chocolates to B instead of 80%?
3. How many chocolates did C receive in this problem?
4. If the difference was 200 instead of 144, what would be the total number of chocolates A had?
5. If A had 2000 chocolates, how many would be left with A after giving 60% away?

**Tip:** When solving word problems, carefully interpret each percentage step-by-step to avoid errors.

Learn how to solve the problem where A initially had a certain number of chocolates, giving away a percentage to B and distributing the rest to C. Find out the total number of chocolates A had using step-by-step calculations. Suitable for students in Grades 7-9.

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