Flynn needed exactly 83 m of cloth to make 17 short identical streamers and 9 long identical streamers. He had some cloth which was just enough to make all the short streamers and 3 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 17 short streamers + Length of 9 long streamers = 83 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 17 short streamers
= 17 x 1.105
= 18.785 m
Length of cloth for 9 long streamers
= 83 - 18.785
= 64.215 m
Length of cloth to make 1 long streamer
= 64.215 ÷ 9
= 7.135 m
(b)
Number of remaining long streamers that Flynn needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 long streamers
= 6 x 7.135
= 42.81 m
Answer(s): (a) 7.135 m; (b) 42.81 m