Jack needed exactly 81 m of cloth to make 18 short identical banners and 6 long identical banners. He had some cloth which was just enough to make all the short banners and 4 long banners. He used 128
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 18 short banners + Length of 6 long banners = 81 m
1 m = 100 cm
Length of cloth for each short banner
= 128
12 cm
= 128.5 cm
= 1.285 m
Length of cloth for 18 short banners
= 18 x 1.285
= 23.13 m
Length of cloth for 6 long banners
= 81 - 23.13
= 57.87 m
Length of cloth to make 1 long banner
= 57.87 ÷ 6
= 9.645 m
(b)
Number of remaining long banners that Jack needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long banners
= 2 x 9.645
= 19.29 m
Answer(s): (a) 9.645 m; (b) 19.29 m