5. I have a total of Rs300 in coins of denomination Rs1, Rs2 andRss. The
number of Rs 2 coins is 3 times the number of Rs5 coins. The total number of
coins is 160. How many coins of each denomination are with me?
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Step-by-step explanation:
let x,y,z be the no. of coins of 1, 2 and 5 resp
means we have
x+2y+5z=300
and
x+y+z=160
and
y=3z implies x=160-4z
so from first equation,
160-4z+6z+5z=300
7z=140
z=20 coins of 5
y=60 coins of 2
x=160-80=80 coins of 1
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