Perry needed exactly 86 m of cloth to make 16 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 114
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 6 big banners = 86 m
1 m = 100 cm
Length of cloth for each small banner
= 114
12 cm
= 114.5 cm
= 1.145 m
Length of cloth for 16 small banners
= 16 x 1.145
= 18.32 m
Length of cloth for 6 big banners
= 86 - 18.32
= 67.68 m
Length of cloth to make 1 big banner
= 67.68 ÷ 6
= 11.28 m
(b)
Number of remaining big banners that Perry needed
= 6 - 3
= 3
Length of cloth that he was short of
= Length of 3 big banners
= 3 x 11.28
= 33.84 m
Answer(s): (a) 11.28 m; (b) 33.84 m