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45 inch board cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece . find the lengths of all three pieces

Respuesta :

Answer:65

Step-by-step explanation:

Length of first, second and third piece are 5, 15 ,25 inch

Given that;

Length of board = 45 inch

Second cut is 3 times as long as the first piece

Third cut is 5 times as long as the first piece

Find:

Length of all three piece

Computation:

Assume;

Length of first piece = a

So,

Length of second piece = 3a

Length of third piece = 5a

So,

Length of first piece + Length of second piece + Length of third piece = Total length

a + 3a + 5a = 45

9a = 45

a = 5

So,

Length of first piece = a

Length of first piece = 5 inch

Length of second piece = 3a = 3(5)

Length of second piece = 15 inch

Length of third piece = 5a = 5(5)

Length of third piece = 25 inch

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https://brainly.com/question/15558889?referrer=searchResults

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