Simon needed exactly 87 m of cloth to make 16 short identical banners and 8 long identical banners. He had some cloth which was just enough to make all the short banners and 4 long banners. He used 111
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 16 short banners + Length of 8 long banners = 87 m
1 m = 100 cm
Length of cloth for each short banner
= 111
12 cm
= 111.5 cm
= 1.115 m
Length of cloth for 16 short banners
= 16 x 1.115
= 17.84 m
Length of cloth for 8 long banners
= 87 - 17.84
= 69.16 m
Length of cloth to make 1 long banner
= 69.16 ÷ 8
= 8.645 m
(b)
Number of remaining long banners that Simon needed
= 8 - 4
= 4
Length of cloth that he was short of
= Length of 4 long banners
= 4 x 8.645
= 34.58 m
Answer(s): (a) 8.645 m; (b) 34.58 m