Question

24. Suhi has a total of Rs. 300 consisting of Rs. 1,
Rs. 2, Rs. 5 coins. The number of Rs. 2 coins is 3
times the number of Rs. 5 coins. The total no. of
coins are 160. The no. of coins of Rs.1, Rs. 2, Rs.
5 denomination are:
(a) 70, 65, 25 (b) 70, 70,20
(c) 80, 50, 30 (d) None of the above​

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Maths

Linear Equations in One Variable

Solving Linear Equations in One Variable

I have a total of Rs 300 in...

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I have a total of Rs 300 in coins of denomination Re1,Rs2 and Rs5. The number of Rs2 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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ANSWER

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