Oliver needed exactly 90 m of cloth to make 18 small identical banners and 6 big identical banners. He had some cloth which was just enough to make all the small banners and 3 big banners. He used 113
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 18 small banners + Length of 6 big banners = 90 m
1 m = 100 cm
Length of cloth for each small banner
= 113
12 cm
= 113.5 cm
= 1.135 m
Length of cloth for 18 small banners
= 18 x 1.135
= 20.43 m
Length of cloth for 6 big banners
= 90 - 20.43
= 69.57 m
Length of cloth to make 1 big banner
= 69.57 ÷ 6
= 11.595 m
(b)
Number of remaining big banners that Oliver needed
= 6 - 3
= 3
Length of cloth that he was short of
= Length of 3 big banners
= 3 x 11.595
= 34.785 m
Answer(s): (a) 11.595 m; (b) 34.785 m