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a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 times as many 50 paisa coins as 1 rupee coins . the total amount of piggy bank is 45 rupees . how many coins of each kind are there in the piggy bank ?
Verified Answer
a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 tim...
Let us assume that the number of coins of 1 rupee are x
therefore coins of 50 paisa are 3x
amount of 1 rupee coin = 1�x=100x paisa
amount of 50 paisa coins=50�3x=150 paisa
100x+150x=4500
250x=4500
x=18
This question is part of UPSC exam. View all Class 8 courses
Most Upvoted Answer
a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 tim...
Given information:
- The piggy bank contains 1 rupee and 50 paisa coins.
- There are 3 times as many 50 paisa coins as 1 rupee coins.
- The total amount in the piggy bank is 45 rupees.
Let's solve the problem step by step:
Step 1: Define variables:
Let's assume the number of 1 rupee coins as 'x'.
So, the number of 50 paisa coins will be '3x'.
Step 2: Calculate the total value of coins:
The value of 1 rupee coin is 1 rupee, and the value of 50 paisa coin is 0.50 rupees.
So, the total value of the 1 rupee coins will be '1x' rupees, and the total value of the 50 paisa coins will be '0.50 * 3x' rupees.
The total value of all the coins is given as 45 rupees. Therefore, we can write the equation as:
1x + 0.50 * 3x = 45
Step 3: Solve the equation:
Simplifying the equation:
1x + 1.50x = 45
2.50x = 45
x = 45 / 2.50
x = 18
So, the number of 1 rupee coins is 18.
Step 4: Calculate the number of 50 paisa coins:
We know that there are 3 times as many 50 paisa coins as 1 rupee coins.
Therefore, the number of 50 paisa coins will be 3 * 18 = 54.
So, the number of 50 paisa coins is 54.
Step 5: Final answer:
In the piggy bank, there are 18 coins of 1 rupee and 54 coins of 50 paisa.
Conclusion:
The piggy bank contains 18 coins of 1 rupee and 54 coins of 50 paisa. The total value of all the coins is 45 rupees.
- The piggy bank contains 1 rupee and 50 paisa coins.
- There are 3 times as many 50 paisa coins as 1 rupee coins.
- The total amount in the piggy bank is 45 rupees.
Let's solve the problem step by step:
Step 1: Define variables:
Let's assume the number of 1 rupee coins as 'x'.
So, the number of 50 paisa coins will be '3x'.
Step 2: Calculate the total value of coins:
The value of 1 rupee coin is 1 rupee, and the value of 50 paisa coin is 0.50 rupees.
So, the total value of the 1 rupee coins will be '1x' rupees, and the total value of the 50 paisa coins will be '0.50 * 3x' rupees.
The total value of all the coins is given as 45 rupees. Therefore, we can write the equation as:
1x + 0.50 * 3x = 45
Step 3: Solve the equation:
Simplifying the equation:
1x + 1.50x = 45
2.50x = 45
x = 45 / 2.50
x = 18
So, the number of 1 rupee coins is 18.
Step 4: Calculate the number of 50 paisa coins:
We know that there are 3 times as many 50 paisa coins as 1 rupee coins.
Therefore, the number of 50 paisa coins will be 3 * 18 = 54.
So, the number of 50 paisa coins is 54.
Step 5: Final answer:
In the piggy bank, there are 18 coins of 1 rupee and 54 coins of 50 paisa.
Conclusion:
The piggy bank contains 18 coins of 1 rupee and 54 coins of 50 paisa. The total value of all the coins is 45 rupees.
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a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 times as many 50 paisa coins as 1 rupee coins . the total amount of piggy bank is 45 rupees . how many coins of each kind are there in the piggy bank ?
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a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 times as many 50 paisa coins as 1 rupee coins . the total amount of piggy bank is 45 rupees . how many coins of each kind are there in the piggy bank ? 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 piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 times as many 50 paisa coins as 1 rupee coins . the total amount of piggy bank is 45 rupees . how many coins of each kind are there in the piggy bank ? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for a piggy bank is full of 1 rupee and 50 paisa coins . it contains 3 times as many 50 paisa coins as 1 rupee coins . the total amount of piggy bank is 45 rupees . how many coins of each kind are there in the piggy bank ?.
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