Zane needed exactly 83 m of cloth to make 20 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 116
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 20 small banners + Length of 6 big banners = 83 m
1 m = 100 cm
Length of cloth for each small banner
= 116
12 cm
= 116.5 cm
= 1.165 m
Length of cloth for 20 small banners
= 20 x 1.165
= 23.3 m
Length of cloth for 6 big banners
= 83 - 23.3
= 59.7 m
Length of cloth to make 1 big banner
= 59.7 ÷ 6
= 9.95 m
(b)
Number of remaining big banners that Zane needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 big banners
= 2 x 9.95
= 19.9 m
Answer(s): (a) 9.95 m; (b) 19.9 m