A 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.

a) 2000

b) 1500

c) 1600

d) 1800

e) None of these

Let's solve the problem step by step.

Let the total number of chocolates A initially had be \( x \).

1. A gave away 60% of his chocolates:
   \[
   \text{Chocolates given away} = 0.6x
   \]
   This means A has \( 0.4x \) chocolates left.

2. A gave 80% of the chocolates from the 60% to B:
   \[
   \text{Chocolates given to B} = 0.8 \times 0.6x = 0.48x
   \]

3. The remaining chocolates from the 60% were given to C:
   \[
   \text{Chocolates given to C} = 0.6x - 0.48x = 0.12x
   \]

4. The difference between the chocolates left with A and the chocolates with B is 144:
   \[
   \text{Difference} = \text{Chocolates with B} - \text{Chocolates left with A}
   \]
   So,
   \[
   0.48x - 0.4x = 144
   \]

5. Simplify the equation:
   \[
   0.08x = 144
   \]
   \[
   x = \frac{144}{0.08} = 1800
   \]

So, the total number of chocolates A had is \( \boxed{1800} \).

### Answer: **(d) 1800**

Would you like more details on this solution or have any other questions?

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Here are five related questions:

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

**Tip:** Always double-check your percentage calculations, especially when dealing with multiple steps.

Learn how to solve a problem involving chocolates distribution and difference between quantities. This math problem covers percentages and difference equations, providing a step-by-step solution to find the total number of chocolates A had initially. Suitable for students in Grades 6-8.

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