A piece of wood is cut into three pieces in the ratio 2:3:5. If the longest piece is 15 in longer than the shortest piece, find the lengths of the piece of wood.
Accepted Solution
A:
5/10x = 2/10x + 15 5/10x - 2/10x = 15 3/10x = 15 x = 15 * 10/3 x = 150/3 x = 50
2/10(50) = 100/10 = 10 in. ....shortest piece 3/10(50) = 150/10 = 15 in .....middle piece 5/10(50) = 250/10 = 25 in .....longest piece