Mark needed exactly 72 m of cloth to make 20 short identical banners and 7 long identical banners. He had some cloth which was just enough to make all the short banners and 3 long banners. He used 132¹₂ 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 20 short banners + Length of 7 long banners = 72 m

1 m = 100 cm

Length of cloth for each short banner
= 132¹₂ cm
= 132.5 cm 
= 1.325 m

Length of cloth for 20 short banners
= 20 x 1.325 
= 26.5 m

Length of cloth for 7 long banners
= 72 - 26.5
= 45.5 m

Length of cloth to make 1 long banner
= 45.5 ÷ 7
= 6.5 m

(b)
Number of remaining long banners that Mark needed
= 7 - 3
= 4

Length of cloth that he was short of
= Length of 4 long banners
= 4 x 6.5
= 26 m

Answer(s): (a) 6.5 m; (b) 26 m