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Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination?
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Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ...
**Problem Analysis**
Let's assume that the number of coins of denomination ₹1 is x and the number of coins of denomination ₹5 is y. We need to find the values of x and y.
**Given Information**
- Total number of coins = 200
- Total amount of money collected = ₹320
**Equations**
We can form two equations based on the given information:
1. x + y = 200 (equation 1) - This equation represents the total number of coins.
2. 1x + 5y = 320 (equation 2) - This equation represents the total amount of money collected.
**Solving the Equations**
We can solve these equations simultaneously to find the values of x and y.
1. Multiply equation 1 by 1 to get x + y = 200.
2. Multiply equation 1 by 5 to get 5x + 5y = 1000.
3. Subtract equation 2 from equation 3: (5x + 5y) - (1x + 5y) = 1000 - 320.
Simplifying, we get 4x = 680.
4. Divide both sides by 4: x = 680/4 = 170.
Now, substitute the value of x in equation 1:
170 + y = 200.
Subtracting 170 from both sides, we get y = 200 - 170 = 30.
**Conclusion**
Therefore, there are 170 coins of denomination ₹1 and 30 coins of denomination ₹5 in Rekha's piggy bank.
Let's assume that the number of coins of denomination ₹1 is x and the number of coins of denomination ₹5 is y. We need to find the values of x and y.
**Given Information**
- Total number of coins = 200
- Total amount of money collected = ₹320
**Equations**
We can form two equations based on the given information:
1. x + y = 200 (equation 1) - This equation represents the total number of coins.
2. 1x + 5y = 320 (equation 2) - This equation represents the total amount of money collected.
**Solving the Equations**
We can solve these equations simultaneously to find the values of x and y.
1. Multiply equation 1 by 1 to get x + y = 200.
2. Multiply equation 1 by 5 to get 5x + 5y = 1000.
3. Subtract equation 2 from equation 3: (5x + 5y) - (1x + 5y) = 1000 - 320.
Simplifying, we get 4x = 680.
4. Divide both sides by 4: x = 680/4 = 170.
Now, substitute the value of x in equation 1:
170 + y = 200.
Subtracting 170 from both sides, we get y = 200 - 170 = 30.
**Conclusion**
Therefore, there are 170 coins of denomination ₹1 and 30 coins of denomination ₹5 in Rekha's piggy bank.
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Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ...
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Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination?
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Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in 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 Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination?.
Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in 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 Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rekha collected some coins of ₹1 and ₹5 in her piggy bank. If she had ₹320 in total and total numbers of coins were 200, find the no. Of coins in each denomination?.
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