I have a total of ₹300 in coins of denomination ₹1, ₹2 and ₹5. The number of ₹2 coins is 3 times the number of ₹5 coins. The total number of coins is 160. How many coins of each denomination are with me?
Answers
Answer:
Let a be number of ₹1 coins, b number of ₹2 coins and c number of ₹ 5 coins
Because I have a total of ₹300 in denomination of ₹1 , ₹2 and ₹5
a + 2b + 5c = 300 -,,,,,,,,,,,,,(i)
And because The total number of coins is 160
a + b + c = 160 …………..{ii}
subtracting (ii) from {i}
b + 4c = 140 ……… (iii)
But b = 3c ( As The number of ₹2 coins is 3 times the number of ₹5 coins )
Substituting value of b in (iii)
3c + 4c = 140
7c = 140
c = 20
substituting the value of c in (iii)
b + 4 x 20 = 140
b = 140 - 80 = 60
substituting the values of b and c in (ii)
a + 60 + 20 = 160
a = 80
To verify the answer
1 x 80 + 2 x 60 + 5 x 20 = 80 + 120 + 100 = 300
Answer there are 80 ₹1 cons 60 ₹ 2 coins and 20 ₹ 5 cons
Step-by-step explanation:
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Step-by-step explanation:
The numer of coins of 5 rs is =20
the number of coins of rs2 is =20*3 = 60
the number of coins of rs 1 is =80
The total coins is 160
The total rupees is 300