Andy needed exactly 77 m of cloth to make 21 small identical banners and 7 big identical banners. He had some cloth which was just enough to make all the small banners and 4 big banners. He used 118
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 21 small banners + Length of 7 big banners = 77 m
1 m = 100 cm
Length of cloth for each small banner
= 118
12 cm
= 118.5 cm
= 1.185 m
Length of cloth for 21 small banners
= 21 x 1.185
= 24.885 m
Length of cloth for 7 big banners
= 77 - 24.885
= 52.115 m
Length of cloth to make 1 big banner
= 52.115 ÷ 7
= 7.445 m
(b)
Number of remaining big banners that Andy needed
= 7 - 4
= 3
Length of cloth that he was short of
= Length of 3 big banners
= 3 x 7.445
= 22.335 m
Answer(s): (a) 7.445 m; (b) 22.335 m