A PERSON HAS 1&2 RUPEE COINS WITH HIM.TOTAL NUMBER OF COINS WITH HIM IS 50.TOTAL AMOUNT WITH HIM IS 75.FIND HOW MANY 1&2 RUPEE COINS ARE THERE WITH HIM
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To solve this problem, let's introduce two variables:
Let's say the number of 1-rupee coins is 'x' and the number of 2-rupee coins is 'y'.
Now we can set up two equations based on the given information:
Equation 1: The total number of coins is 50: x + y = 50.
Equation 2: The total amount of money is 75: 1*x + 2*y = 75.
Since we have two equations and two variables, we can solve this system of equations.
We can begin by multiplying Equation 1 by 2:
2x + 2y = 100.
Now we can subtract Equation 2 from this new equation:
(2x + 2y) - (x + 2y) = 100 - 75.
Simplifying, we have:
x = 25.
So, there are 25 1-rupee coins.
Substituting this value back into Equation 1, we can find the value of 'y':
25 + y = 50.
y = 50 - 25.
y = 25.
Therefore, there are 25 2-rupee coins.