Fabian needed exactly 70 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 5 long banners. He used 129
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 20 short banners + Length of 7 long banners = 70 m
1 m = 100 cm
Length of cloth for each short banner
= 129
12 cm
= 129.5 cm
= 1.295 m
Length of cloth for 20 short banners
= 20 x 1.295
= 25.9 m
Length of cloth for 7 long banners
= 70 - 25.9
= 44.1 m
Length of cloth to make 1 long banner
= 44.1 ÷ 7
= 6.3 m
(b)
Number of remaining long banners that Fabian needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long banners
= 2 x 6.3
= 12.6 m
Answer(s): (a) 6.3 m; (b) 12.6 m