Will needed exactly 82 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 3 long streamers. He used 117
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 = 82 m
1 m = 100 cm
Length of cloth for each short streamer
= 117
12 cm
= 117.5 cm
= 1.175 m
Length of cloth for 20 short streamers
= 20 x 1.175
= 23.5 m
Length of cloth for 6 long streamers
= 82 - 23.5
= 58.5 m
Length of cloth to make 1 long streamer
= 58.5 ÷ 6
= 9.75 m
(b)
Number of remaining long streamers that Will needed
= 6 - 3
= 3
Length of cloth that he was short of
= Length of 3 long streamers
= 3 x 9.75
= 29.25 m
Answer(s): (a) 9.75 m; (b) 29.25 m