Aruna has Rs1 and Rs 2 coins with her.If the total number of coins she has is 50 and the total amount of with her is Rs 75,then what then what will be the number of coins Rs 1 and Rs 2 coins are,respectively
Answers
Answer:
Number of Rs.1 coins = 25
Number of Rs.2 coins = 25
Step-by-step explanation:
Given:
- Total number of coins = 50
- Total amount with her = Rs.75
To Find:
- Number of Rs 1 and Rs 2 coins
Solution:
Let us assume the number of Rs 1 coins as x
Let the number of Rs 2 coins be y
By given,
Rs 1 coins + Rs 2 coins = 50
x + y = 50
x = 50 -y -------(1)
Total amount by Rs 1 coins = 1 × x = Rs. x
Total amount by Rs 2 coins = 2 × y = Rs. 2y
By given,
Amount of Rs 1 coins + Amount of Rs 2 coins = Rs 75
x + 2y = 75 ------(2)
Substitute the value of x from equation 1 in equation 2
50 - y + 2y = 75
50 + y = 75
y = 75 - 50
y = 25
Hence the number of rupees 2 coins is 25.
Substitute the value of y in equation 1
x = 50 - 25
x = 25
Hence the number of rupees 1 coins is 25.
Verification:
Rs 1 coins + Rs 2 coins = 50
25 + 25 = 50
50 = 50
Amount of Rs 1 coins + Amount of Rs 2 coins = Rs 75
1 × 25 + 2 × 25 = 75
25 + 50 = 75
75 = 75
Hence verified.
Step-by-step explanation:
Let
the number of RS 1 coins be = x
the number of RS 2 coins be = y.
To find the answer to this question our core goal is to frame two equations. So,
We know there are 50 total coins so x + y = 50
And the total money amounts to 75. So, 1x + 2y = 75 (number of coins multiplied with # of coins)
Now solving with the help of Elimination method and terminating the varaible y you will get x = 25 and then y = 25.
So the number of both RS 1 and RS 2 coins is similar i.e 25 coins.