Adam has a rope which is 90 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 40 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 = 40 cm
Length of the second and the third pieces
= 90 - 40
= 50 cm
4 u + 1 u = 50
5 u = 50
1 u = 50 ÷ 5 = 10
Total length of the first and third pieces
= 4 u + 40
= 4 x 10 + 40
= 40 + 40
= 80 cm
(b)
Difference in length between the second and the third piece
= 40 - 10
= 30 cm
Answer(s): (a) 80 cm; (b) 30 cm