i have total of rs 300 in coins of denomination rs 1 rs 2 and rs 3.The number of 2rs coins is 3 times the number of rs 5 coins. the total number of coins is 160. how many coins of each denomination are with me ?
please explain step by step :)
Answers
Answer:
let the no. of rs 5 coins be x
& the no. of rs 1 coin be y
& no. of rs 2 coins be 3 x
a.q.t total no. of coins = 160
x + 3x+y = 160
4x + y = 160 eq. 1
again a.q.t total rs = 300
5x + 2(3x) + 1y = 300
11x + y = 300 eq. 2
by elimination method
on subtracting both the equations
4x + y = 160
-11x -y = -300
=-7x =-140
x =20
on putting the the value of x in eq 2
4(20) + y =160
80 + y = 160
y =80
now,
no of rs 2 coins = 3(20)
= 60
no. of rs 5 coins = 20
no. of rs 1 coins=80
By: anjalica, 8 years agoLike
Let the no. of Rs. 5 coins be x
no of Rs. 2 will be 3x
Rs. 1 coin be. 160-3x-x = 160-4x
the amount I have,
from Rs. 2 coins= 3x= 3x2 = 6x
from Rs. 5 coins= x= 5x
from Rs. 1 coin = (160-4x)x1 = 160-4x
Total money Rs.300
6x+5x+160-4x = 300
7x + 160 = 300
7x = 140
x = 20
No. of Rs. 2 Coins = 3x20= 60
No. of Rs. 5 coins = x=20
No. of Re. 1 coin = 160-4x20 =80
And That's The answer !! I learned this concept in class 4th!
By: Vikas, 8 years ago1 like this answer
Given, total value of Rs = Rs 300
Total number of coins = 160
Coins of denomination = Re 1, Rs 2 and Rs 5
Number of Rs 2 coins = 3 x number Rs 5 coins
Let the number of coins of Rs 5 = m
Since, the number coins of Rs 2 is 3 times of the number of coins of Rs 5
Therefore, number of coins of Rs 2 = m x 3 = 3m
Now, Number of coins of Re 1 = Total number of coins – (Number of Rs 5 coins + Number of Rs 2 coins)
Therefore,
Number of coins of Re 1 = 160 – (m + 3m) = 160 – 4m
Total Rs = (Re 1 x Number of Re 1 coins) + (Rs 2 x Number of Rs 2 coins) + (Rs 5 x Number of Rs 5 coins)
⇒ 300 = [1 x (160 – 4m)] + (2 x 3m) + (5 x m)
⇒ 300 = (160 – 4m) + 6m + 5m
⇒ 300 = 160 – 4m + 6m + 5m
⇒ 300 = 160 – 4m + 11m
⇒ 300 = 160 + 7m
After transposing 160 to LHS, we get
300 – 160 = 7m
⇒ 140 = 7 m
After dividing both sides by 7, we get
Answer:
Answer : x=80, y=60 & z=20
Step-by-step explanation:
