Dylan needed exactly 90 m of cloth to make 18 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 140¹₂ 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 18 small banners + Length of 6 big banners = 90 m

1 m = 100 cm

Length of cloth for each small banner
= 140¹₂ cm
= 140.5 cm 
= 1.405 m

Length of cloth for 18 small banners
= 18 x 1.405 
= 25.29 m

Length of cloth for 6 big banners
= 90 - 25.29
= 64.71 m

Length of cloth to make 1 big banner
= 64.71 ÷ 6
= 10.785 m

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

Length of cloth that he was short of
= Length of 3 big banners
= 3 x 10.785
= 32.355 m

Answer(s): (a) 10.785 m; (b) 32.355 m