Warren needed exactly 81 m of cloth to make 18 short identical streamers and 9 long identical streamers. He had some cloth which was just enough to make all the short streamers and 3 long streamers. He used 112
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 18 short streamers + Length of 9 long streamers = 81 m
1 m = 100 cm
Length of cloth for each short streamer
= 112
12 cm
= 112.5 cm
= 1.125 m
Length of cloth for 18 short streamers
= 18 x 1.125
= 20.25 m
Length of cloth for 9 long streamers
= 81 - 20.25
= 60.75 m
Length of cloth to make 1 long streamer
= 60.75 ÷ 9
= 6.75 m
(b)
Number of remaining long streamers that Warren needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 long streamers
= 6 x 6.75
= 40.5 m
Answer(s): (a) 6.75 m; (b) 40.5 m