Luis needed exactly 81 m of cloth to make 21 small identical streamers and 9 big identical streamers. He had some cloth which was just enough to make all the small streamers and 3 big streamers. He used 139
12 cm for each small streamer.
- How much cloth would he need to make 1 big streamer?
- How much cloth was he short of to make the remaining big streamers?
(a)
Length of 21 small streamers + Length of 9 big streamers = 81 m
1 m = 100 cm
Length of cloth for each small streamer
= 139
12 cm
= 139.5 cm
= 1.395 m
Length of cloth for 21 small streamers
= 21 x 1.395
= 29.295 m
Length of cloth for 9 big streamers
= 81 - 29.295
= 51.705 m
Length of cloth to make 1 big streamer
= 51.705 ÷ 9
= 5.745 m
(b)
Number of remaining big streamers that Luis needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 big streamers
= 6 x 5.745
= 34.47 m
Answer(s): (a) 5.745 m; (b) 34.47 m