Adam has a rope which is 500 cm long.
He cuts the rope into 3 pieces.
The first piece is 3 times as long as the second piece.
The third piece is 460 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 = 3 u
Length of third piece = 460 cm
Length of the second and the third pieces
= 500 - 460
= 40 cm
3 u + 1 u = 40
4 u = 40
1 u = 40 ÷ 4 = 10
Total length of the first and third pieces
= 3 u + 460
= 3 x 10 + 460
= 30 + 460
= 490 cm
(b)
Difference in length between the second and the third piece
= 460 - 10
= 450 cm
Answer(s): (a) 490 cm; (b) 450 cm