Michael needed exactly 89 m of cloth to make 20 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 137
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 20 short banners + Length of 6 long banners = 89 m
1 m = 100 cm
Length of cloth for each short banner
= 137
12 cm
= 137.5 cm
= 1.375 m
Length of cloth for 20 short banners
= 20 x 1.375
= 27.5 m
Length of cloth for 6 long banners
= 89 - 27.5
= 61.5 m
Length of cloth to make 1 long banner
= 61.5 ÷ 6
= 10.25 m
(b)
Number of remaining long banners that Michael needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long banners
= 2 x 10.25
= 20.5 m
Answer(s): (a) 10.25 m; (b) 20.5 m