Ben needed exactly 77 m of cloth to make 17 short identical banners and 9 long identical banners. He had some cloth which was just enough to make all the short banners and 5 long banners. He used 125
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 17 short banners + Length of 9 long banners = 77 m
1 m = 100 cm
Length of cloth for each short banner
= 125
12 cm
= 125.5 cm
= 1.255 m
Length of cloth for 17 short banners
= 17 x 1.255
= 21.335 m
Length of cloth for 9 long banners
= 77 - 21.335
= 55.665 m
Length of cloth to make 1 long banner
= 55.665 ÷ 9
= 6.185 m
(b)
Number of remaining long banners that Ben needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long banners
= 4 x 6.185
= 24.74 m
Answer(s): (a) 6.185 m; (b) 24.74 m