Jenson needed exactly 72 m of cloth to make 15 short identical banners and 7 long identical banners. He had some cloth which was just enough to make all the short banners and 4 long banners. He used 140
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 15 short banners + Length of 7 long banners = 72 m
1 m = 100 cm
Length of cloth for each short banner
= 140
12 cm
= 140.5 cm
= 1.405 m
Length of cloth for 15 short banners
= 15 x 1.405
= 21.075 m
Length of cloth for 7 long banners
= 72 - 21.075
= 50.925 m
Length of cloth to make 1 long banner
= 50.925 ÷ 7
= 7.275 m
(b)
Number of remaining long banners that Jenson needed
= 7 - 4
= 3
Length of cloth that he was short of
= Length of 3 long banners
= 3 x 7.275
= 21.825 m
Answer(s): (a) 7.275 m; (b) 21.825 m