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Question
Seeta Devi has Rs 9 in fifty-paise and twenty five-paise coins. She has twice as many twenty-five paise coins as she has fifty-paise coins. How many coins of each kind does she have?
Solution
Let the number of 50 paise coins be x .
Therefore, the number of 25 paise coins will be 2x .
Value of 50 paise coins = Rs . 0 . 5x
Value of 25 paise coins = Rs\[ . 0 . 25 \times 2x\]
According to the question,
\[0 . 5x + 0 . 25 \times 2x = 9\]
or x = 9
∴ Number of fifty paise coins = 9
Number of twenty five paise coins = \[ 2 \times 9 = 18\]
Total number of coins = 9 + 18 = 27.
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