Ethan needed exactly 78 m of cloth to make 16 small identical streamers and 8 big identical streamers. He had some cloth which was just enough to make all the small streamers and 5 big streamers. He used 116
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 16 small streamers + Length of 8 big streamers = 78 m
1 m = 100 cm
Length of cloth for each small streamer
= 116
12 cm
= 116.5 cm
= 1.165 m
Length of cloth for 16 small streamers
= 16 x 1.165
= 18.64 m
Length of cloth for 8 big streamers
= 78 - 18.64
= 59.36 m
Length of cloth to make 1 big streamer
= 59.36 ÷ 8
= 7.42 m
(b)
Number of remaining big streamers that Ethan needed
= 8 - 5
= 3
Length of cloth that he was short of
= Length of 3 big streamers
= 3 x 7.42
= 22.26 m
Answer(s): (a) 7.42 m; (b) 22.26 m