Ian needed exactly 70 m of cloth to make 21 small identical streamers and 7 big identical streamers. He had some cloth which was just enough to make all the small streamers and 3 big streamers. He used 121
12 cm for each small streamer.
- How much cloth would he need to make 1 big streamer?
- How much cloth was he short of to make the remaining big streamers?
(a)
Length of 21 small streamers + Length of 7 big streamers = 70 m
1 m = 100 cm
Length of cloth for each small streamer
= 121
12 cm
= 121.5 cm
= 1.215 m
Length of cloth for 21 small streamers
= 21 x 1.215
= 25.515 m
Length of cloth for 7 big streamers
= 70 - 25.515
= 44.485 m
Length of cloth to make 1 big streamer
= 44.485 ÷ 7
= 6.355 m
(b)
Number of remaining big streamers that Ian needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 big streamers
= 4 x 6.355
= 25.42 m
Answer(s): (a) 6.355 m; (b) 25.42 m