Archie needed exactly 76 m of cloth to make 18 short identical banners and 7 long identical banners. He had some cloth which was just enough to make all the short banners and 3 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 18 short banners + Length of 7 long banners = 76 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 18 short banners
= 18 x 1.255
= 22.59 m
Length of cloth for 7 long banners
= 76 - 22.59
= 53.41 m
Length of cloth to make 1 long banner
= 53.41 ÷ 7
= 7.63 m
(b)
Number of remaining long banners that Archie needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 long banners
= 4 x 7.63
= 30.52 m
Answer(s): (a) 7.63 m; (b) 30.52 m