Ravi has rupees 34 in 50 paise coins and 25 paise coins if the number of 25 paise coins is thrice the number of 50 paise coin, how many coins of each kind does she have? (with steps)
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Given data :
- Ravi has rupees 34 in 50 paise coins and 25 paise coins.
- The number of 25 paise coins is thrice the number of 50 paise coins.
To find : How many coins of each kind does Ravi have ?
Solution :
Here we know, that
- Rs 1 = 100 paise
Hence,
- Rs 34 = 3400 paise
Let, 50 paise coins be x and 25 paise coins be y.
Now, according to given,
⟹ 50x + 25y = 3400 ----{ 1 }
Here, we know, the 25 paise coins is thrice the number of 50 paise coins.
Hence,
⟹ y = 3x ----{ 2 }
Now, put value of y in eq. { 1 }
⟹ 50x + 25y = 3400
⟹ 50x + 25*(3x) = 3400
⟹ 50x + 75x = 3400
⟹ 125x = 3400
⟹ x = 3400/125
⟹ x = 27.2
Now, put value of x in eq. { 2 }
⟹ y = 3x
⟹ y = 3(27.2)
⟹ y = 81.6
Answer : Hence, Ravi have 27.2 coins of 50 paise coins and 81.6 coins of 25 paise coins.
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