Cody needed exactly 83 m of cloth to make 18 short identical flags and 7 long identical flags. He had some cloth which was just enough to make all the short flags and 5 long flags. He used 132¹₂ cm for each short flag.

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

(a)
Length of 18 short flags + Length of 7 long flags = 83 m

1 m = 100 cm

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

Length of cloth for 18 short flags
= 18 x 1.325 
= 23.85 m

Length of cloth for 7 long flags
= 83 - 23.85
= 59.15 m

Length of cloth to make 1 long flag
= 59.15 ÷ 7
= 8.45 m

(b)
Number of remaining long flags that Cody needed
= 7 - 5
= 2

Length of cloth that he was short of
= Length of 2 long flags
= 2 x 8.45
= 16.9 m

Answer(s): (a) 8.45 m; (b) 16.9 m