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A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination?
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A sum of 500 is in the form of denomination of 5 and 10. if the total ...
Given Information:
- Total sum = 500
- Denominations = 5 and 10
- Total number of notes = 90
Solution:
Let x be the number of notes of denomination 5 and y be the number of notes of denomination 10.
Equations:
1. 5x + 10y = 500 (total sum equation)
2. x + y = 90 (total number of notes equation)
Solving the Equations:
- From equation 2, we get x = 90 - y
- Substitute x in equation 1: 5(90 - y) + 10y = 500
- Solving this equation, we get y = 40
- Substituting y = 40 in x = 90 - y, we get x = 50
Number of Notes of Each Denomination:
- Number of notes of denomination 5 = x = 50
- Number of notes of denomination 10 = y = 40
Therefore, there are 50 notes of denomination 5 and 40 notes of denomination 10 in total to make 500 with 90 notes.
- Total sum = 500
- Denominations = 5 and 10
- Total number of notes = 90
Solution:
Let x be the number of notes of denomination 5 and y be the number of notes of denomination 10.
Equations:
1. 5x + 10y = 500 (total sum equation)
2. x + y = 90 (total number of notes equation)
Solving the Equations:
- From equation 2, we get x = 90 - y
- Substitute x in equation 1: 5(90 - y) + 10y = 500
- Solving this equation, we get y = 40
- Substituting y = 40 in x = 90 - y, we get x = 50
Number of Notes of Each Denomination:
- Number of notes of denomination 5 = x = 50
- Number of notes of denomination 10 = y = 40
Therefore, there are 50 notes of denomination 5 and 40 notes of denomination 10 in total to make 500 with 90 notes.
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A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination?
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A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination?.
A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A sum of 500 is in the form of denomination of 5 and 10. if the total number of notes is 90 find the number ofnotes of each denomination?.
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