Adam has a rope which is 110 cm long.
He cuts the rope into 3 pieces.
The first piece is 4 times as long as the second piece.
The third piece is 70 cm long.
- Find the total length of the first and third pieces.
- Find the difference in length between the second and the third piece.
(a)
Focus on the sentence with the word '
times'.
Assign 1 u to the variable that is found after the word '
times'.
Length of second piece = 1 u
Length of first piece = 4 u
Length of third piece = 70 cm
Length of the second and the third pieces
= 110 - 70
= 40 cm
4 u + 1 u = 40
5 u = 40
1 u = 40 ÷ 5 = 8
Total length of the first and third pieces
= 4 u + 70
= 4 x 8 + 70
= 32 + 70
= 102 cm
(b)
Difference in length between the second and the third piece
= 70 - 8
= 62 cm
Answer(s): (a) 102 cm; (b) 62 cm