Question:

Alan has two more than twice as many chocolates as Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice, and Nadia have?

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Use algebraic relationships and carefully define variables to express quantities in terms of others.
Updated On: Sep 30, 2025
  • \( 2a + 4 \)
  • \( 5a + 5 \)
  • \( 6a + 7 \)
  • \( 7a + 6 \)
  • \( 9a + 4 \)
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The Correct Option is A

Solution and Explanation

Step 1: Define variables.
Let the number of chocolates Alan has be \( 2a + 4 \), and the number Nadia has is \( 2a + 8 \).
Step 2: Express the quantities in terms of ‘a’.
- Alan has \( 2a + 4 \) chocolates. - Alice has \( a \) chocolates. - Nadia has \( 2a + 8 \) chocolates.
Step 3: Conclusion.
Thus, Alan, Alice, and Nadia have \( 2a + 4 \), \( a \), and \( 2a + 8 \) chocolates, respectively.
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