Zeph needed exactly 79 m of cloth to make 16 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 138
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 16 short streamers + Length of 7 long streamers = 79 m
1 m = 100 cm
Length of cloth for each short streamer
= 138
12 cm
= 138.5 cm
= 1.385 m
Length of cloth for 16 short streamers
= 16 x 1.385
= 22.16 m
Length of cloth for 7 long streamers
= 79 - 22.16
= 56.84 m
Length of cloth to make 1 long streamer
= 56.84 ÷ 7
= 8.12 m
(b)
Number of remaining long streamers that Zeph needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 8.12
= 16.24 m
Answer(s): (a) 8.12 m; (b) 16.24 m