Warren needed exactly 74 m of cloth to make 16 short identical banners and 8 long identical banners. He had some cloth which was just enough to make all the short banners and 5 long banners. He used 123¹₂ cm for each short banner.

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

(a)
Length of 16 short banners + Length of 8 long banners = 74 m

1 m = 100 cm

Length of cloth for each short banner
= 123¹₂ cm
= 123.5 cm 
= 1.235 m

Length of cloth for 16 short banners
= 16 x 1.235 
= 19.76 m

Length of cloth for 8 long banners
= 74 - 19.76
= 54.24 m

Length of cloth to make 1 long banner
= 54.24 ÷ 8
= 6.78 m

(b)
Number of remaining long banners that Warren needed
= 8 - 5
= 3

Length of cloth that he was short of
= Length of 3 long banners
= 3 x 6.78
= 20.34 m

Answer(s): (a) 6.78 m; (b) 20.34 m