PSLEPeter pushes two sticks, Z and A, straight into the ground until the length of each stick that is above the ground is the same.
17 of Z and
111 of A are in the ground. The length of Z in the ground is 14 cm longer than the length of A in the ground. What is the total length of sticks Z and A?
Fraction of Stick Z above ground
= 1 -
17 =
67 Fraction of Stick A above ground
= 1 -
111 =
1011 Heights of Sticks Z and A above ground are the same.
67 Z =
1011 A
3035 Z =
3033 A
Length of Stick Z more than length of Stick A
= 35 u - 33 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Total length of Sticks Z and A
= 35 u + 33 u
= 68 u
= 68 x 7
= 476 cm
Answer(s): 476 cm