Jeremy needed exactly 89 m of cloth to make 17 small identical streamers and 9 big identical streamers. He had some cloth which was just enough to make all the small streamers and 4 big streamers. He used 122
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 17 small streamers + Length of 9 big streamers = 89 m
1 m = 100 cm
Length of cloth for each small streamer
= 122
12 cm
= 122.5 cm
= 1.225 m
Length of cloth for 17 small streamers
= 17 x 1.225
= 20.825 m
Length of cloth for 9 big streamers
= 89 - 20.825
= 68.175 m
Length of cloth to make 1 big streamer
= 68.175 ÷ 9
= 7.575 m
(b)
Number of remaining big streamers that Jeremy needed
= 9 - 4
= 5
Length of cloth that he was short of
= Length of 5 big streamers
= 5 x 7.575
= 37.875 m
Answer(s): (a) 7.575 m; (b) 37.875 m