Math Problem Statement
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
Solution
Let's solve the problem step by step.
Let the total number of chocolates A initially had be .
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A gave away 60% of his chocolates: This means A has chocolates left.
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A gave 80% of the chocolates from the 60% to B:
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The remaining chocolates from the 60% were given to C:
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The difference between the chocolates left with A and the chocolates with B is 144: So,
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Simplify the equation:
So, the total number of chocolates A had is .
Answer: (d) 1800
Would you like more details on this solution or have any other questions?
Here are five related questions:
- If A had 2000 chocolates initially, how many would B receive?
- What if A gave 90% of his chocolates to B instead of 80%, what would be the new difference?
- How many chocolates did C receive in the original problem?
- If the difference was 200 instead of 144, what would be the total number of chocolates A had?
- 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.
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Math Problem Analysis
Mathematical Concepts
Percentage
Difference equations
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8
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