Michael needed exactly 75 m of cloth to make 22 small identical streamers and 6 big identical streamers. He had some cloth which was just enough to make all the small streamers and 4 big streamers. He used 115
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 22 small streamers + Length of 6 big streamers = 75 m
1 m = 100 cm
Length of cloth for each small streamer
= 115
12 cm
= 115.5 cm
= 1.155 m
Length of cloth for 22 small streamers
= 22 x 1.155
= 25.41 m
Length of cloth for 6 big streamers
= 75 - 25.41
= 49.59 m
Length of cloth to make 1 big streamer
= 49.59 ÷ 6
= 8.265 m
(b)
Number of remaining big streamers that Michael needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 big streamers
= 2 x 8.265
= 16.53 m
Answer(s): (a) 8.265 m; (b) 16.53 m