Fred needed exactly 75 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 137
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 = 75 m
1 m = 100 cm
Length of cloth for each short streamer
= 137
12 cm
= 137.5 cm
= 1.375 m
Length of cloth for 17 short streamers
= 17 x 1.375
= 23.375 m
Length of cloth for 7 long streamers
= 75 - 23.375
= 51.625 m
Length of cloth to make 1 long streamer
= 51.625 ÷ 7
= 7.375 m
(b)
Number of remaining long streamers that Fred needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 7.375
= 14.75 m
Answer(s): (a) 7.375 m; (b) 14.75 m