A piece of wood is cut into three pieces in the ratio 2:3:5. If C is longer than B by 8cm. Find the length of the piece of wood

40 cm

Step-by-step explanation:

Given the ratio of the pieces is 2 : 3 : 5 = 2x : 3x : 5x (x is a multiplier)

Since C is longer than B by 8 cm, then

5x = 3x + 8 (subtract 3x from both sides)

2x = 8 (divide both sides by 2)

x = 4

Thus

2x = 2 * 4 = 8

3x = 3 * 4 = 12

5x = 3x + 8 = 12 + 8 = 20

length of piece of wood = 8 + 12 + 20 = 40 cm