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A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.?
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A bag contain 20 coins of denominations of 50 paise and 1 rupees . The...
Problem Statement:
A bag contains 20 coins of denominations of 50 paise and 1 rupee. The total value of the coins in the bag is 16 rupees. Find the number of coins of each denomination.
Solution:
To solve this problem, we can use the method of simultaneous equations. Let's assume the number of 50 paise coins as 'x' and the number of 1 rupee coins as 'y'.
Equation 1:
The total number of coins is given as 20. So, we have:
x + y = 20
Equation 2:
The total value of the coins is given as 16 rupees. The value of a 50 paise coin is 0.50 rupees and the value of a 1 rupee coin is 1 rupee. So, the equation becomes:
0.50x + 1y = 16
Now, we can solve these two equations simultaneously to find the values of 'x' and 'y'.
Solving the equations:
We can solve these equations by substitution or elimination method. Let's use the elimination method here.
Multiplying Equation 1 by -0.50, we get:
-0.50x - 0.50y = -10
Adding this equation to Equation 2, we get:
-0.50x - 0.50y + 0.50x + y = -10 + 16
0.50y = 6
y = 6/0.50
y = 12
Substituting the value of y in Equation 1, we get:
x + 12 = 20
x = 20 - 12
x = 8
Therefore, the number of 50 paise coins is 8 and the number of 1 rupee coins is 12.
Answer:
The number of coins of each denomination is as follows:
- 50 paise coins: 8
- 1 rupee coins: 12
A bag contains 20 coins of denominations of 50 paise and 1 rupee. The total value of the coins in the bag is 16 rupees. Find the number of coins of each denomination.
Solution:
To solve this problem, we can use the method of simultaneous equations. Let's assume the number of 50 paise coins as 'x' and the number of 1 rupee coins as 'y'.
Equation 1:
The total number of coins is given as 20. So, we have:
x + y = 20
Equation 2:
The total value of the coins is given as 16 rupees. The value of a 50 paise coin is 0.50 rupees and the value of a 1 rupee coin is 1 rupee. So, the equation becomes:
0.50x + 1y = 16
Now, we can solve these two equations simultaneously to find the values of 'x' and 'y'.
Solving the equations:
We can solve these equations by substitution or elimination method. Let's use the elimination method here.
Multiplying Equation 1 by -0.50, we get:
-0.50x - 0.50y = -10
Adding this equation to Equation 2, we get:
-0.50x - 0.50y + 0.50x + y = -10 + 16
0.50y = 6
y = 6/0.50
y = 12
Substituting the value of y in Equation 1, we get:
x + 12 = 20
x = 20 - 12
x = 8
Therefore, the number of 50 paise coins is 8 and the number of 1 rupee coins is 12.
Answer:
The number of coins of each denomination is as follows:
- 50 paise coins: 8
- 1 rupee coins: 12
Community Answer
A bag contain 20 coins of denominations of 50 paise and 1 rupees . The...
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A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.?
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A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.?.
A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bag contain 20 coins of denominations of 50 paise and 1 rupees . The total value of the coin in the bag is 16 rupees . Find the number of coins of each denomination.?.
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