Albert needed exactly 86 m of cloth to make 16 short identical streamers and 8 long identical streamers. He had some cloth which was just enough to make all the short streamers and 3 long streamers. He used 126¹₂ 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 16 short streamers + Length of 8 long streamers = 86 m

1 m = 100 cm

Length of cloth for each short streamer
= 126¹₂ cm
= 126.5 cm 
= 1.265 m

Length of cloth for 16 short streamers
= 16 x 1.265 
= 20.24 m

Length of cloth for 8 long streamers
= 86 - 20.24
= 65.76 m

Length of cloth to make 1 long streamer
= 65.76 ÷ 8
= 8.22 m

(b)
Number of remaining long streamers that Albert needed
= 8 - 3
= 5

Length of cloth that he was short of
= Length of 5 long streamers
= 5 x 8.22
= 41.1 m

Answer(s): (a) 8.22 m; (b) 41.1 m