a person has 1&2 rupee coins with him
total amount with him is 75.total number of coins with him is 50.find how many 1&2 rupee coinsare there with him.
2 RUPEE COINS 25 AND 1 RUPEE COINS 25
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To solve this problem, let's assign variables to represent the number of 1 rupee coins and the number of 2 rupee coins the person has.
Let's say the number of 1 rupee coins is x, and the number of 2 rupee coins is y.
From the given information:
1. The total amount of money with him is 75 rupees. Using the values of x and y, we can write the equation:
1*x + 2*y = 75
2. The total number of coins with him is 50 coins. Again, using the values of x and y, we can write another equation:
x + y = 50
We now have a system of two equations with two variables. We can solve this system to find the values of x and y.
One way to solve this system is by the method of substitution:
Rearrange the second equation:
x = 50 - y
Substitute this value of x in the first equation:
1*(50 - y) + 2*y = 75
Now, solve this equation for y:
50 - y + 2*y = 75
50 + y = 75
y = 75 - 50
y = 25
Now, substitute this value of y back into the equation x = 50 - y:
x = 50 - 25
x = 25
So, the number of 1 rupee coins (x) is 25, and the number of 2 rupee coins (y) is 25.