Question

anybody on-line now?? tell me the answer of this ! no spam please , with full explanation !​

Answer 1

Answer:

Hint:

Here, we will assume the number of Rs. 5 coins to be some variable. We will use the condition to find the values of Rs 2 and Rs 1 in terms of variables. We will multiply the number of coins by their denomination and add all of them together to form an equation. We will then solve the equation to get the value of the variable and hence, the number of coins of each denomination with the person.

Complete step by step solution:

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.

Explanation:

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