Peter needed exactly 87 m of cloth to make 20 short identical streamers and 6 long identical streamers. He had some cloth which was just enough to make all the short streamers and 4 long streamers. He used 115
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 20 short streamers + Length of 6 long streamers = 87 m
1 m = 100 cm
Length of cloth for each short streamer
= 115
12 cm
= 115.5 cm
= 1.155 m
Length of cloth for 20 short streamers
= 20 x 1.155
= 23.1 m
Length of cloth for 6 long streamers
= 87 - 23.1
= 63.9 m
Length of cloth to make 1 long streamer
= 63.9 ÷ 6
= 10.65 m
(b)
Number of remaining long streamers that Peter needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 10.65
= 21.3 m
Answer(s): (a) 10.65 m; (b) 21.3 m