Eric needed exactly 76 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 5 long banners. He used 130
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 = 76 m
1 m = 100 cm
Length of cloth for each short banner
= 130
12 cm
= 130.5 cm
= 1.305 m
Length of cloth for 16 short banners
= 16 x 1.305
= 20.88 m
Length of cloth for 8 long banners
= 76 - 20.88
= 55.12 m
Length of cloth to make 1 long banner
= 55.12 ÷ 8
= 6.89 m
(b)
Number of remaining long banners that Eric needed
= 8 - 5
= 3
Length of cloth that he was short of
= Length of 3 long banners
= 3 x 6.89
= 20.67 m
Answer(s): (a) 6.89 m; (b) 20.67 m