Divide $370 into three parts such that second part is 1/4 of the third part and the ratio between the first and the third part is 3 : 5. Find each part.
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Answers
Answered by
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Let first and third parts be 3x and 5x (the ratio is 3:5)
Given that second part is (1/4) of third part
Therefore second part = 5x/4
Now
Sum of all three parts = ₹370
3x + (5x/4) + 5x = 370
(12x + 5x + 20x)/4 = 370
37x/4 = 370
Dividing whole equation by 37
x/4 = 10
x = 40
Therefore
First Part = 3x = ₹120
Third Part = 5x = ₹200
Second part = 5x/4 = ₹50
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Answered by
1
Answer:
Step-by-step explanation:
Let first and third parts be 3x and 5x (the ratio is 3:5)
Given that second part is (1/4) of third part
Therefore second part = 5x/4
Now
Sum of all three parts = ₹370
3x + (5x/4) + 5x = 370
(12x + 5x + 20x)/4 = 370
37x/4 = 370
Dividing whole equation by 37
x/4 = 10
x = 40
Therefore
First Part = 3x = ₹120
Third Part = 5x = ₹200
Second part = 5x/4 = ₹50
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