Mary has a total ₹ 300 in coins of denominations ₹ 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 her?
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Step-by-step explanation:
Let number of Rs5 coins be x
Number of Rs 2 coins =3× Number of 5 Rs coins =3x
Number of Re1 coins =160−(x+3x)
=160−4x
Amount of Rs5 coins =5×x=5x
Amount of Rs2 coins =2×3x=Rs6x
Amount of Re1 coins =(160−4×x)
=160−4x
As per the question, Total amount =Rs300
160−4x+5x+6x=300
7x=300−160
x=
7
140
x=20
Number of Re 1 coins =160−4x
=160−4×20
=80
Number of Rs2 coins =3x=3×20=60
Number of Rs5 coins =x=20
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