Aravind has a kiddy bank. It is full of one-rupee and fifty paise coins. It contains 3 times as many fifty paise coins as one rupee coins. The total amount of the money in the bank is Rs. 35. How many coins of each kind are there in the bank?
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Answered by
1
there are 14 one ruppee coins and 21 fifty paise coins
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2
Answer:
One rupee coins=14
50 paise coins =42.
Step-by-step explanation:
Let us assume that in the bank there are p one-rupee coins and q fifty paise coins.
Then by the condition is given, the total amount in the bank is given by
p+ q/2 =35 ....... (1)
Again, the bank contains 3 times as many 50 paise coins as one rupee coins.
Hence, q=3p..... (2)
Now, solving equations (1) and (2) we get,
p +3p/2 =35, ⇒ p=14.
Again, from equation (2), we get, q= 3p=3×14 =42.
Therefore, the number of one rupee coin is 14 and that of 50 paise coin is 42. (Answer)
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