Zane needed exactly 83 m of cloth to make 18 small identical banners and 7 big identical banners. He had some cloth which was just enough to make all the small banners and 5 big banners. He used 125
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 7 big banners = 83 m
1 m = 100 cm
Length of cloth for each small banner
= 125
12 cm
= 125.5 cm
= 1.255 m
Length of cloth for 18 small banners
= 18 x 1.255
= 22.59 m
Length of cloth for 7 big banners
= 83 - 22.59
= 60.41 m
Length of cloth to make 1 big banner
= 60.41 ÷ 7
= 8.63 m
(b)
Number of remaining big banners that Zane needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 big banners
= 2 x 8.63
= 17.26 m
Answer(s): (a) 8.63 m; (b) 17.26 m