Jack needed exactly 74 m of cloth to make 16 small identical streamers and 7 big identical streamers. He had some cloth which was just enough to make all the small streamers and 3 big streamers. He used 126
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 7 big streamers = 74 m
1 m = 100 cm
Length of cloth for each small streamer
= 126
12 cm
= 126.5 cm
= 1.265 m
Length of cloth for 16 small streamers
= 16 x 1.265
= 20.24 m
Length of cloth for 7 big streamers
= 74 - 20.24
= 53.76 m
Length of cloth to make 1 big streamer
= 53.76 ÷ 7
= 7.68 m
(b)
Number of remaining big streamers that Jack needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 big streamers
= 4 x 7.68
= 30.72 m
Answer(s): (a) 7.68 m; (b) 30.72 m