Brandon needed exactly 75 m of cloth to make 19 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 131
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 19 short streamers + Length of 7 long streamers = 75 m
1 m = 100 cm
Length of cloth for each short streamer
= 131
12 cm
= 131.5 cm
= 1.315 m
Length of cloth for 19 short streamers
= 19 x 1.315
= 24.985 m
Length of cloth for 7 long streamers
= 75 - 24.985
= 50.015 m
Length of cloth to make 1 long streamer
= 50.015 ÷ 7
= 7.145 m
(b)
Number of remaining long streamers that Brandon needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long streamers
= 2 x 7.145
= 14.29 m
Answer(s): (a) 7.145 m; (b) 14.29 m