Cole needed exactly 75 m of cloth to make 16 small identical banners and 8 big identical banners. He had some cloth which was just enough to make all the small banners and 4 big banners. He used 115
12 cm for each small banner.
- How much cloth would he need to make 1 big banner?
- How much cloth was he short of to make the remaining big banners?
(a)
Length of 16 small banners + Length of 8 big banners = 75 m
1 m = 100 cm
Length of cloth for each small banner
= 115
12 cm
= 115.5 cm
= 1.155 m
Length of cloth for 16 small banners
= 16 x 1.155
= 18.48 m
Length of cloth for 8 big banners
= 75 - 18.48
= 56.52 m
Length of cloth to make 1 big banner
= 56.52 ÷ 8
= 7.065 m
(b)
Number of remaining big banners that Cole needed
= 8 - 4
= 4
Length of cloth that he was short of
= Length of 4 big banners
= 4 x 7.065
= 28.26 m
Answer(s): (a) 7.065 m; (b) 28.26 m