Ethan needed exactly 79 m of cloth to make 16 short identical streamers and 9 long identical streamers. He had some cloth which was just enough to make all the short streamers and 5 long streamers. He used 122
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 16 short streamers + Length of 9 long streamers = 79 m
1 m = 100 cm
Length of cloth for each short streamer
= 122
12 cm
= 122.5 cm
= 1.225 m
Length of cloth for 16 short streamers
= 16 x 1.225
= 19.6 m
Length of cloth for 9 long streamers
= 79 - 19.6
= 59.4 m
Length of cloth to make 1 long streamer
= 59.4 ÷ 9
= 6.6 m
(b)
Number of remaining long streamers that Ethan needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long streamers
= 4 x 6.6
= 26.4 m
Answer(s): (a) 6.6 m; (b) 26.4 m