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