Daniel needed exactly 72 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 4 big banners. He used 126
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 = 72 m
1 m = 100 cm
Length of cloth for each small banner
= 126
12 cm
= 126.5 cm
= 1.265 m
Length of cloth for 18 small banners
= 18 x 1.265
= 22.77 m
Length of cloth for 6 big banners
= 72 - 22.77
= 49.23 m
Length of cloth to make 1 big banner
= 49.23 ÷ 6
= 8.205 m
(b)
Number of remaining big banners that Daniel needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 big banners
= 2 x 8.205
= 16.41 m
Answer(s): (a) 8.205 m; (b) 16.41 m