Brandon needed exactly 74 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 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 8 big banners = 74 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 8 big banners
= 74 - 18.32
= 55.68 m
Length of cloth to make 1 big banner
= 55.68 ÷ 8
= 6.96 m
(b)
Number of remaining big banners that Brandon needed
= 8 - 4
= 4
Length of cloth that he was short of
= Length of 4 big banners
= 4 x 6.96
= 27.84 m
Answer(s): (a) 6.96 m; (b) 27.84 m