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79-inch-long board is cut into three pieces: A, B , and C. Piece Ç is twice as long as B, and piece Bis 5 inches longer than A. Find the sum of the lengths of pieces B and C.

Respuesta :

Answer: A is 16 inches.

B = 21 inches

C = 42 inches

Step-by-step explanation:

The total length of the board is 79 inches. It is cut into three pieces, A, B and C.

This means that

A + B + C = 79 - - - - - - - - - - - 1

Piece C is twice as long as B. This means that

C = 2B

Piece B is 5 inches longer than A. This means that

A = B - 5

Substituting C = 2B and A = B - 5 into equation 1, it becomes

B - 5 + B + 2B = 79

4B = 79 + 5 = 84

B = 84/4 = 21

A = B - 5 = 21 - 5

A = B - 5 = 21 - 5

A = 16

C = 2B = 2 × 21

C = 42

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