Henry needed exactly 71 m of cloth to make 17 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 122
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 17 short banners + Length of 9 long banners = 71 m
1 m = 100 cm
Length of cloth for each short banner
= 122
12 cm
= 122.5 cm
= 1.225 m
Length of cloth for 17 short banners
= 17 x 1.225
= 20.825 m
Length of cloth for 9 long banners
= 71 - 20.825
= 50.175 m
Length of cloth to make 1 long banner
= 50.175 ÷ 9
= 5.575 m
(b)
Number of remaining long banners that Henry needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long banners
= 4 x 5.575
= 22.3 m
Answer(s): (a) 5.575 m; (b) 22.3 m