I have a total of I have a total of rupees 300 in coins of denomination Rupees 1, rupees 2 ,and rupees 5. the total number of rupees 2 coin is three times the number of rupees 5 coins.the total number of coin is 160.how many coins of each denomination are with me ?
Answers
Answer:
Given the total value of coins=Rs300. Hence, the person has 20 coins of denomination Rs 5, 60 coins of denomination Rs 2 and 80 coins of denomination Rs 1.
Answer:
Here's your answer
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.
Hope it helps
Pls mark me the brainliest