PSLEOwen pushes two sticks, Y and Z, straight into the ground until the length of each stick that is above the ground is the same.
14 of Y and
18 of Z are in the ground. The length of Y in the ground is 16 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 -
14 =
34 Fraction of Stick Z above ground
= 1 -
18 =
78 Heights of Sticks Y and Z above ground are the same.
34 Y =
78 Z
2128 Y =
2124 Z
Length of Stick Y more than length of Stick Z
= 28 u - 24 u
= 4 u
4 u = 16
1 u = 16 ÷ 4 = 4
Total length of Sticks Y and Z
= 28 u + 24 u
= 52 u
= 52 x 4
= 208 cm
Answer(s): 208 cm