I have a total of rupees 120 in coins of denomination of rupees 1, rupees 2 and rupees 5. The number of rupees 2 coins is double the number of rupees 5 coins is 60. How manu coins of each denomination are with me.
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Answer:
1 ₹ coins = 80
2 ₹ coins = 60
5 ₹ coins = 20
Step-by-step explanation:
Let the no. of Rs. 5 coins be x
Then,
No. of Rs. 2 coins will be 3x
So,
Rs. 1 coin will be = 160-3x-x = 160-4x
The amount with me = 120 ₹
From Rs. 2 coins = 3x = 3x2 = 6x
from Rs. 5 coins = x = 5x
from Rs. 1 coin = (160-4x)x1 = 160-4x
Total money Rs.300
6x+5x+160-4x = 300
7x + 160 = 300
7x = 140
x = 20
No. of Rs. 2 Coins = 3x20 = 60
No. of Rs. 5 coins = x = 20
No. of Rs. 1 coin = 160-4x20 = 80
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