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
To find out how many 1 and 2 rupee coins a person has, we can set up a system of equations based on the given information. Let's assume the person has x 1 rupee coins and y 2 rupee coins.
From the given information, we have two equations:
Equation 1: x + y = 50 (since the total number of coins with him is 50)
Equation 2: 1x + 2y = 75 (since the total amount with him is 75)
Now we can solve this system of equations to find the values of x and y.
To eliminate x from Equation 2, we can multiply both sides of Equation 1 by 1 and Equation 2 by 2:
Equation 1: 1x + 1y = 50
Equation 2: 2x + 4y = 150
Now we subtract Equation 1 from Equation 2:
(2x + 4y) - (1x + 1y) = 150 - 50
x + 3y = 100
Now we have a simplified equation:
x + 3y = 100
Now we solve this equation for x:
x = 100 - 3y
Substituting this value of x in Equation 1:
(100 - 3y) + y = 50
100 - 2y = 50
-2y = -50
y = 25
Now we substitute the value of y back into Equation 1 to find x:
x + 25 = 50
x = 50 - 25
x = 25
Therefore, the person has 25 1 rupee coins and 25 2 rupee coins with him.