Sean needed exactly 75 m of cloth to make 21 short identical streamers and 9 long identical streamers. He had some cloth which was just enough to make all the short streamers and 4 long streamers. He used 110
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 21 short streamers + Length of 9 long streamers = 75 m
1 m = 100 cm
Length of cloth for each short streamer
= 110
12 cm
= 110.5 cm
= 1.105 m
Length of cloth for 21 short streamers
= 21 x 1.105
= 23.205 m
Length of cloth for 9 long streamers
= 75 - 23.205
= 51.795 m
Length of cloth to make 1 long streamer
= 51.795 ÷ 9
= 5.755 m
(b)
Number of remaining long streamers that Sean needed
= 9 - 4
= 5
Length of cloth that he was short of
= Length of 5 long streamers
= 5 x 5.755
= 28.775 m
Answer(s): (a) 5.755 m; (b) 28.775 m