PSLEPeter pushes two sticks, X and Y, straight into the ground until the length of each stick that is above the ground is the same.
18 of X and
111 of Y are in the ground. The length of X in the ground is 24 cm longer than the length of Y in the ground. What is the total length of sticks X and Y?
Fraction of Stick X above ground
= 1 -
18 =
78 Fraction of Stick Y above ground
= 1 -
111 =
1011 Heights of Sticks X and Y above ground are the same.
78 X =
1011 Y
7080 X =
7077 Y
Length of Stick X more than length of Stick Y
= 80 u - 77 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Total length of Sticks X and Y
= 80 u + 77 u
= 157 u
= 157 x 8
= 1256 cm
Answer(s): 1256 cm