Liam needed exactly 78 m of cloth to make 15 small identical banners and 9 big identical banners. He had some cloth which was just enough to make all the small banners and 3 big banners. He used 140
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 15 small banners + Length of 9 big banners = 78 m
1 m = 100 cm
Length of cloth for each small banner
= 140
12 cm
= 140.5 cm
= 1.405 m
Length of cloth for 15 small banners
= 15 x 1.405
= 21.075 m
Length of cloth for 9 big banners
= 78 - 21.075
= 56.925 m
Length of cloth to make 1 big banner
= 56.925 ÷ 9
= 6.325 m
(b)
Number of remaining big banners that Liam needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 big banners
= 6 x 6.325
= 37.95 m
Answer(s): (a) 6.325 m; (b) 37.95 m