Penelope used
47 of the rope to tie some presents. She threw away
311 of the remaining rope. As a result, she had 312 cm of the rope left. How much rope did Penelope have at first? Give your answer in cm.
Fraction of the rope left after tying some presents
= 1 -
47=
37 Fraction of the remaining rope left after throwing away
= 1 -
311=
811
Fraction of the total rope left
=
37 ×
811=
2477
Length of the rope at first = 77 u
Length of the rope left = 24 u
24 u = 312
1 u = 312 ÷ 24 = 13
Length of the rope at first
= 77 u
= 77 x 13
= 1001 cm
Answer(s): 1001 cm