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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? - Mathematics

Sum

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?

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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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APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.4 | Q 10 | Page 29
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