John needed exactly 87 m of cloth to make 21 short identical banners and 9 long identical banners. He had some cloth which was just enough to make all the short banners and 3 long banners. He used 120
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 21 short banners + Length of 9 long banners = 87 m
1 m = 100 cm
Length of cloth for each short banner
= 120
12 cm
= 120.5 cm
= 1.205 m
Length of cloth for 21 short banners
= 21 x 1.205
= 25.305 m
Length of cloth for 9 long banners
= 87 - 25.305
= 61.695 m
Length of cloth to make 1 long banner
= 61.695 ÷ 9
= 6.855 m
(b)
Number of remaining long banners that John needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 long banners
= 6 x 6.855
= 41.13 m
Answer(s): (a) 6.855 m; (b) 41.13 m