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In a certain day 4 carpenters and 5 helpers earned TZS 35000 at the same rate of pay a group of 5 carpenters and 6 helpers earned TZS 43000 . how much does a carpenter and a helpers earn each day?
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In a certain day 4 carpenters and 5 helpers earned TZS 35000 at the sa...
Solution:

Given information:
- 4 carpenters + 5 helpers earned TZS 35000
- 5 carpenters + 6 helpers earned TZS 43000

Let x be the daily wage of a carpenter and y be the daily wage of a helper.

Forming equations:
- 4x + 5y = 35000
- 5x + 6y = 43000

Solving the equations:
- Multiply the first equation by 5 and the second equation by 4:
- 20x + 25y = 175000
- 20x + 24y = 172000
- Subtract the second equation from the first:
- y = 3000
- Substitute y = 3000 into the first equation:
- 4x + 5(3000) = 35000
- 4x + 15000 = 35000
- 4x = 20000
- x = 5000

Therefore, a carpenter earns TZS 5000 per day and a helper earns TZS 3000 per day.
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In a certain day 4 carpenters and 5 helpers earned TZS 35000 at the same rate of pay a group of 5 carpenters and 6 helpers earned TZS 43000 . how much does a carpenter and a helpers earn each day?
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