i have a total of 300 coins of denomination 1rs, 2rs ,and 5rs.the number of 2rs coins is 3 times the number of 5rs coins. the total number of coins is 160. how many coins of each denomination is with me
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Step-by-step explanation:
Let the number of Rs 5 coins be x.
Then , the number of Rs 2 coins = 3x
and , the number of rs 1 coin = 160-x-3x=160-4x
Total value of these coins = rs [ 5× x+2×3x+1×(160-4x) ] = rs ( 5x+6x+160-4x)=rs (7x+160)
According to question , 7x+160=30
7x=300-160 = 140
Dividing both sides by 7, we get
x = 140/7=20
Hence, number of rs 5 coins =x=20
Number of rs 2 coins = 3x= 3×20=60
Number of rs 1 coin = 160-4x =160-4×20=160-80=80
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