Question

a wooden board is 100 centimeters long is cut into two pieces one is 16 centimeters longer than the other what are the lengths of the two pieces

Answer 1

Problema Solution a wooden board 100 centimeters long is cut into two pieces. One piece is 16 inches longer than the other. What are the lengths of the two pieces x = the length of one piece y = the length of the other piece the total length is 100 cm this means x + y = 100 one piece is 16 inches longer than the other first we need to convert inches to cm: 1 in = 2.54 cm 16 in = 2.54*16 = 40.64 now we can write x = y + 40.64 by solving the system of equations x + y = 100 x = y + 40.64 we find x = 70.32 cm y = 29.68 cm the lengths of the two pieces are 70.32 cm and 29.68 cm.

Answer 2

(100 - 16)÷2 = 42 is the short one's length and 42 + 16 = 58 is the long one's length