Eric needed exactly 80 m of cloth to make 20 short identical streamers and 7 long identical streamers. He had some cloth which was just enough to make all the short streamers and 4 long streamers. He used 116
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 7 long streamers = 80 m
1 m = 100 cm
Length of cloth for each short streamer
= 116
12 cm
= 116.5 cm
= 1.165 m
Length of cloth for 20 short streamers
= 20 x 1.165
= 23.3 m
Length of cloth for 7 long streamers
= 80 - 23.3
= 56.7 m
Length of cloth to make 1 long streamer
= 56.7 ÷ 7
= 8.1 m
(b)
Number of remaining long streamers that Eric needed
= 7 - 4
= 3
Length of cloth that he was short of
= Length of 3 long streamers
= 3 x 8.1
= 24.3 m
Answer(s): (a) 8.1 m; (b) 24.3 m