Riordan needed exactly 81 m of cloth to make 16 small identical banners and 8 big identical banners. He had some cloth which was just enough to make all the small banners and 3 big banners. He used 129
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 16 small banners + Length of 8 big banners = 81 m
1 m = 100 cm
Length of cloth for each small banner
= 129
12 cm
= 129.5 cm
= 1.295 m
Length of cloth for 16 small banners
= 16 x 1.295
= 20.72 m
Length of cloth for 8 big banners
= 81 - 20.72
= 60.28 m
Length of cloth to make 1 big banner
= 60.28 ÷ 8
= 7.535 m
(b)
Number of remaining big banners that Riordan needed
= 8 - 3
= 5
Length of cloth that he was short of
= Length of 5 big banners
= 5 x 7.535
= 37.675 m
Answer(s): (a) 7.535 m; (b) 37.675 m