Charlie needed exactly 74 m of cloth to make 16 short identical banners and 6 long identical banners. He had some cloth which was just enough to make all the short banners and 3 long banners. He used 114
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 16 short banners + Length of 6 long banners = 74 m
1 m = 100 cm
Length of cloth for each short banner
= 114
12 cm
= 114.5 cm
= 1.145 m
Length of cloth for 16 short banners
= 16 x 1.145
= 18.32 m
Length of cloth for 6 long banners
= 74 - 18.32
= 55.68 m
Length of cloth to make 1 long banner
= 55.68 ÷ 6
= 9.28 m
(b)
Number of remaining long banners that Charlie needed
= 6 - 3
= 3
Length of cloth that he was short of
= Length of 3 long banners
= 3 x 9.28
= 27.84 m
Answer(s): (a) 9.28 m; (b) 27.84 m