Bryan needed exactly 83 m of cloth to make 16 short identical banners and 8 long identical banners. He had some cloth which was just enough to make all the short banners and 3 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 16 short banners + Length of 8 long banners = 83 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 16 short banners
= 16 x 1.375
= 22 m
Length of cloth for 8 long banners
= 83 - 22
= 61 m
Length of cloth to make 1 long banner
= 61 ÷ 8
= 7.625 m
(b)
Number of remaining long banners that Bryan needed
= 8 - 3
= 5
Length of cloth that he was short of
= Length of 5 long banners
= 5 x 7.625
= 38.125 m
Answer(s): (a) 7.625 m; (b) 38.125 m