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The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy?
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The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more ...
Problem Statement
We need to determine the wages of each man and boy given the following:
- The total wages of 8 men and 6 boys is ₹33.
- 4 men earn ₹4.50 more than 5 boys.
Let us Define Variables
- Let the wage of one man be 'm'.
- Let the wage of one boy be 'b'.
Formulating the Equations
- From the total wages:
8m + 6b = 33
- From the wage comparison:
4m = 5b + 4.50
Substituting and Solving
1. Rearranging the second equation:
m = (5b + 4.50) / 4
2. Substitute 'm' in the first equation:
8((5b + 4.50) / 4) + 6b = 33
3. Simplifying the equation:
2(5b + 4.50) + 6b = 33
10b + 9 + 6b = 33
16b + 9 = 33
16b = 24
b = 1.50
4. Substitute 'b' back to find 'm':
m = (5(1.50) + 4.50) / 4
m = (7.50 + 4.50) / 4
m = 12 / 4 = 3
Final Wages
- The wage of each man (m) = ₹3
- The wage of each boy (b) = ₹1.50
Now we have successfully determined the wages of each man and boy.
We need to determine the wages of each man and boy given the following:
- The total wages of 8 men and 6 boys is ₹33.
- 4 men earn ₹4.50 more than 5 boys.
Let us Define Variables
- Let the wage of one man be 'm'.
- Let the wage of one boy be 'b'.
Formulating the Equations
- From the total wages:
8m + 6b = 33
- From the wage comparison:
4m = 5b + 4.50
Substituting and Solving
1. Rearranging the second equation:
m = (5b + 4.50) / 4
2. Substitute 'm' in the first equation:
8((5b + 4.50) / 4) + 6b = 33
3. Simplifying the equation:
2(5b + 4.50) + 6b = 33
10b + 9 + 6b = 33
16b + 9 = 33
16b = 24
b = 1.50
4. Substitute 'b' back to find 'm':
m = (5(1.50) + 4.50) / 4
m = (7.50 + 4.50) / 4
m = 12 / 4 = 3
Final Wages
- The wage of each man (m) = ₹3
- The wage of each boy (b) = ₹1.50
Now we have successfully determined the wages of each man and boy.
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The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy?
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The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy?.
The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The wages of 8 men and 6 boys amount to ₹33. If 4 men earn ₹4.50 more than 5 boys determine the wages of each man and boy?.
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