Tim needed exactly 78 m of cloth to make 17 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 133
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 9 long streamers = 78 m
1 m = 100 cm
Length of cloth for each short streamer
= 133
12 cm
= 133.5 cm
= 1.335 m
Length of cloth for 17 short streamers
= 17 x 1.335
= 22.695 m
Length of cloth for 9 long streamers
= 78 - 22.695
= 55.305 m
Length of cloth to make 1 long streamer
= 55.305 ÷ 9
= 6.145 m
(b)
Number of remaining long streamers that Tim needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long streamers
= 4 x 6.145
= 24.58 m
Answer(s): (a) 6.145 m; (b) 24.58 m