Bobby needed exactly 82 m of cloth to make 16 small identical banners and 6 big identical banners. He had some cloth which was just enough to make all the small banners and 3 big banners. He used 116¹₂ 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 6 big banners = 82 m

1 m = 100 cm

Length of cloth for each small banner
= 116¹₂ cm
= 116.5 cm 
= 1.165 m

Length of cloth for 16 small banners
= 16 x 1.165 
= 18.64 m

Length of cloth for 6 big banners
= 82 - 18.64
= 63.36 m

Length of cloth to make 1 big banner
= 63.36 ÷ 6
= 10.56 m

(b)
Number of remaining big banners that Bobby needed
= 6 - 3
= 3

Length of cloth that he was short of
= Length of 3 big banners
= 3 x 10.56
= 31.68 m

Answer(s): (a) 10.56 m; (b) 31.68 m