Ian needed exactly 75 m of cloth to make 18 short identical banners and 6 long identical banners. He had some cloth which was just enough to make all the short banners and 4 long banners. He used 118
12 cm for each short banner.
- How much cloth would he need to make 1 long banner?
- How much cloth was he short of to make the remaining long banners?
(a)
Length of 18 short banners + Length of 6 long banners = 75 m
1 m = 100 cm
Length of cloth for each short banner
= 118
12 cm
= 118.5 cm
= 1.185 m
Length of cloth for 18 short banners
= 18 x 1.185
= 21.33 m
Length of cloth for 6 long banners
= 75 - 21.33
= 53.67 m
Length of cloth to make 1 long banner
= 53.67 ÷ 6
= 8.945 m
(b)
Number of remaining long banners that Ian needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long banners
= 2 x 8.945
= 17.89 m
Answer(s): (a) 8.945 m; (b) 17.89 m