Neave needed exactly 84 m of cloth to make 16 short identical streamers and 6 long identical streamers. He had some cloth which was just enough to make all the short streamers and 4 long streamers. He used 127
12 cm for each short streamer.
- How much cloth would he need to make 1 long streamer?
- How much cloth was he short of to make the remaining long streamers?
(a)
Length of 16 short streamers + Length of 6 long streamers = 84 m
1 m = 100 cm
Length of cloth for each short streamer
= 127
12 cm
= 127.5 cm
= 1.275 m
Length of cloth for 16 short streamers
= 16 x 1.275
= 20.4 m
Length of cloth for 6 long streamers
= 84 - 20.4
= 63.6 m
Length of cloth to make 1 long streamer
= 63.6 ÷ 6
= 10.6 m
(b)
Number of remaining long streamers that Neave needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 10.6
= 21.2 m
Answer(s): (a) 10.6 m; (b) 21.2 m