Caden needed exactly 71 m of cloth to make 16 small identical banners and 8 big identical banners. He had some cloth which was just enough to make all the small banners and 5 big banners. He used 121¹₂ cm for each small banner.

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

(a)
Length of 16 small banners + Length of 8 big banners = 71 m

1 m = 100 cm

Length of cloth for each small banner
= 121¹₂ cm
= 121.5 cm 
= 1.215 m

Length of cloth for 16 small banners
= 16 x 1.215 
= 19.44 m

Length of cloth for 8 big banners
= 71 - 19.44
= 51.56 m

Length of cloth to make 1 big banner
= 51.56 ÷ 8
= 6.445 m

(b)
Number of remaining big banners that Caden needed
= 8 - 5
= 3

Length of cloth that he was short of
= Length of 3 big banners
= 3 x 6.445
= 19.335 m

Answer(s): (a) 6.445 m; (b) 19.335 m