Total coins is rs. 300 in coins of denomination of rs. 1,2 and 5. Number of rsv2 coins us 3 times more than of rs 5. Total number of coins is 160. Find coins in each denomination
Answers
Answer:
Rs/- 1 coins =80
Rs/- 2 coins =60
Rs/- 5 coins =20
Step-by-step explanation:
Let number of 1 rupee coins be 'x' and number of 5 rupee coins be 'y'
number of 2 rupee coins =3×y
x+3y+y=160 (Total # of coins)
x+4y=160. (Equation 1)
1×x+2×3×y+5×y= 300 (Total money)
x+11y=300. (equation 2)
solving eqns 1 and 2 we get x=80,y=20
Hence 1 rupee coins =x(80)
2 rupee coins =3y(60)
5 rupee coins =y(20)
Answer:
Number of coin Rs 5 = 20
Number of coin Rs 2 = 60
Number of coin Rs 1 = 80
Step-by-step explanation:
Let,
Coin of Rs 5 = x
Coin of Rs 2 = 3x
Total number of coins is 160
So,
Coin of Rs 1 = 160 - (3x + x)
⇒ 160 - 4x
Coin of Rs 1 = 160 - 4x
★ Value of Coins :
Coin of Rs 5 = 5x
Coin of Rs 2 = 6x
Coin of Rs 1 = 160 - 4x
★ According to the question :
Total Rs. 300
⇒ 5x + 6x + (160 - 4x) = 300
⇒ 5x + 6x - 4x = 300 - 160
⇒ 11x - 4x = 140
⇒ 7x = 140
⇒ x = 140 ÷ 7
⇒ x = 20
- Coin of Rs 5 = 20
Coin of Rs 2 = 3x
⇒ 3 (20)
⇒ 60
- Coin of Rs 2 = 60
Coin of Rs 1 = 160 - 4x
⇒ 160 - 4 (20)
⇒ 160 - 80
⇒ 80
- Coin of Rs 1 = 80
Therefore,
Number of coin Rs 5 = 20
Number of coin Rs 2 = 60
Number of coin Rs 1 = 80