Neave needed exactly 90 m of cloth to make 21 short identical banners and 9 long identical banners. He had some cloth which was just enough to make all the short banners and 5 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 21 short banners + Length of 9 long banners = 90 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 21 short banners
= 21 x 1.185
= 24.885 m
Length of cloth for 9 long banners
= 90 - 24.885
= 65.115 m
Length of cloth to make 1 long banner
= 65.115 ÷ 9
= 7.235 m
(b)
Number of remaining long banners that Neave needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long banners
= 4 x 7.235
= 28.94 m
Answer(s): (a) 7.235 m; (b) 28.94 m