Question

I have a total of` Rs300 in coins of denomination Rs1, 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?

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

According to the question,

Total number of coins =160

Given total value of coins =Rs300

Now, it is given that the coins are in the denomination of Rs 1, Rs 2 and Rs 5.

Also, the number of Rs. 2 coins is 3 times the number of Rs. 5 coins

Let the number of Rs.5 coins be x.

Therefore, number of Rs. 2 coins =3x

Now, the number of Rs 1 coins will be equal to the difference between the total number of coins and the sum of Rs. 5 and Rs 2 coins.

Hence, number of Rs.1 coins =160−4x

Now, for the total value of coins, we will multiply the number of coins by their respective value.

Total value of coins =1(160−4x)+2(3x)+5(x)…………………………………(1)

But according to the question,

Given the total value of coins=Rs300.

So, substituting the total value of coins in equation (1), we get

⇒300=160−4x+6x+5x

Adding and subtracting the like terms, we get

⇒7x=140

Dividing both sides by 7, we get

⇒x=20

Therefore, the number of Rs 5 coins=x=20

Also, the number of Rs 2 coins =3x=3×20

Multiplying the terms, we get

⇒ The number of Rs 2 coins =60

And, the number of Rs 1 coins =160−4x=160−4(20)

Multiplying the terms, we get

⇒ The number of Rs 1 coins =160−80=80

Hence, the person has 20 coins of denomination Rs 5, 60 coins of denomination Rs 2 and 80 coins of denomination Rs 1.