Justin needed exactly 85 m of cloth to make 15 short identical streamers and 7 long identical streamers. He had some cloth which was just enough to make all the short streamers and 3 long streamers. He used 110
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 15 short streamers + Length of 7 long streamers = 85 m
1 m = 100 cm
Length of cloth for each short streamer
= 110
12 cm
= 110.5 cm
= 1.105 m
Length of cloth for 15 short streamers
= 15 x 1.105
= 16.575 m
Length of cloth for 7 long streamers
= 85 - 16.575
= 68.425 m
Length of cloth to make 1 long streamer
= 68.425 ÷ 7
= 9.775 m
(b)
Number of remaining long streamers that Justin needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 long streamers
= 4 x 9.775
= 39.1 m
Answer(s): (a) 9.775 m; (b) 39.1 m