Simon needed exactly 74 m of cloth to make 22 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 117¹₂ cm for each short streamer.

1. How much cloth would he need to make 1 long streamer?
2. How much cloth was he short of to make the remaining long streamers?

(a)
Length of 22 short streamers + Length of 6 long streamers = 74 m

1 m = 100 cm

Length of cloth for each short streamer
= 117¹₂ cm
= 117.5 cm 
= 1.175 m

Length of cloth for 22 short streamers
= 22 x 1.175 
= 25.85 m

Length of cloth for 6 long streamers
= 74 - 25.85
= 48.15 m

Length of cloth to make 1 long streamer
= 48.15 ÷ 6
= 8.025 m

(b)
Number of remaining long streamers that Simon needed
= 6 - 4
= 2

Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 8.025
= 16.05 m

Answer(s): (a) 8.025 m; (b) 16.05 m