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Arjun has 8 candies more than twice the candies Riya has. Arjun has 30 candies. How many candies does Riya have?

  • a)
    10

  • b)
    12

  • c)
    11

  • d)
    15

Correct answer is option 'C'. Can you explain this answer?
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Arjun has 8 candies more than twice the candies Riya has. Arjun has 30...
Understanding the Problem
Arjun has a certain number of candies, and the relationship between his candies and Riya's candies is given. Let's break down the information:
Given Information:
- Arjun has 30 candies.
- The statement "Arjun has 8 candies more than twice the candies Riya has" can be expressed mathematically.
Setting up the Equation
Let Riya's candies be represented by the variable "R". According to the problem:
- Twice the number of Riya's candies is 2R.
- Arjun has 8 more than that, which can be expressed as:
Arjun's candies = 2R + 8
Since we know that Arjun has 30 candies, we can set up the equation:
- 2R + 8 = 30
Solving the Equation
To find out how many candies Riya has, we will solve the equation step by step:
1. Subtract 8 from both sides:
- 2R + 8 - 8 = 30 - 8
- 2R = 22
2. Now, divide both sides by 2:
- R = 22 / 2
- R = 11
Conclusion
Therefore, Riya has 11 candies. This matches option 'b' in the provided choices.
Final Answer: Riya has 11 candies.
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Arjun has 8 candies more than twice the candies Riya has. Arjun has 30 candies. How many candies does Riya have?a)10b)12c)11d)15Correct answer is option 'C'. Can you explain this answer?
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