Oliver needed exactly 85 m of cloth to make 17 short identical streamers and 7 long identical streamers. He had some cloth which was just enough to make all the short streamers and 5 long streamers. He used 111
12 cm for each short streamer.
- How much cloth would he need to make 1 long streamer?
- How much cloth was he short of to make the remaining long streamers?
(a)
Length of 17 short streamers + Length of 7 long streamers = 85 m
1 m = 100 cm
Length of cloth for each short streamer
= 111
12 cm
= 111.5 cm
= 1.115 m
Length of cloth for 17 short streamers
= 17 x 1.115
= 18.955 m
Length of cloth for 7 long streamers
= 85 - 18.955
= 66.045 m
Length of cloth to make 1 long streamer
= 66.045 ÷ 7
= 9.435 m
(b)
Number of remaining long streamers that Oliver needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 9.435
= 18.87 m
Answer(s): (a) 9.435 m; (b) 18.87 m