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A wooden board 100 centimeters long is cut into two pieces. One piece is 16 centimeters longer than the other. What are the lengths of the two pieces?

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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.

User Frank Koch
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