Question

I have total of Rs 300 in coins of denomination Rs.1, Rs.2, and Rs.5. The number of. Rs.2 coins is three times the number of Rs.5 coins. The total number of coins is 160, how many coins of each denomination are with me ....​

Answer 1

Answer:

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

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

Answer 2

Answer:

Answer : x=80, y=60 & z=20

Step-by-step explanation: