Math Problem Statement
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.
Solution
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 .
Step 2: Calculate the chocolates left with A after giving away 60%
A gives away 60% of his chocolates, so he is left with:
Step 3: Calculate the chocolates given to B
A gives 80% of the 60% of chocolates to B, so B receives:
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:
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: This gives us:
Step 6: Solve the equation
Simplify the equation: Solve for :
Conclusion
The total number of chocolates A had is .
Would you like more details on any step, or do you have any other questions?
Here are five related questions:
- If A had initially 2400 chocolates, how many would B receive?
- What would be the new difference if A gave 90% of his chocolates to B instead of 80%?
- How many chocolates did C receive in this problem?
- If the difference was 200 instead of 144, what would be the total number of chocolates A had?
- 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.
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Math Problem Analysis
Mathematical Concepts
Percentage
Equations
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9
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