PSLEPaul pushes two sticks, Y and Z, straight into the ground until the length of each stick that is above the ground is the same.
13 of Y and
17 of Z are in the ground. The length of Y in the ground is 6 cm longer than the length of Z in the ground. What is the total length of sticks Y and Z?
Fraction of Stick Y above ground
= 1 -
13 =
23 Fraction of Stick Z above ground
= 1 -
17 =
67 Heights of Sticks Y and Z above ground are the same.
23 Y =
67 Z
69 Y =
67 Z
Length of Stick Y more than length of Stick Z
= 9 u - 7 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Total length of Sticks Y and Z
= 9 u + 7 u
= 16 u
= 16 x 3
= 48 cm
Answer(s): 48 cm