Bobby needed exactly 73 m of cloth to make 19 short identical banners and 9 long identical banners. He had some cloth which was just enough to make all the short banners and 4 long banners. He used 113
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 19 short banners + Length of 9 long banners = 73 m
1 m = 100 cm
Length of cloth for each short banner
= 113
12 cm
= 113.5 cm
= 1.135 m
Length of cloth for 19 short banners
= 19 x 1.135
= 21.565 m
Length of cloth for 9 long banners
= 73 - 21.565
= 51.435 m
Length of cloth to make 1 long banner
= 51.435 ÷ 9
= 5.715 m
(b)
Number of remaining long banners that Bobby needed
= 9 - 4
= 5
Length of cloth that he was short of
= Length of 5 long banners
= 5 x 5.715
= 28.575 m
Answer(s): (a) 5.715 m; (b) 28.575 m