Ryan needed exactly 89 m of cloth to make 17 short identical flags and 9 long identical flags. He had some cloth which was just enough to make all the short flags and 3 long flags. He used 140
12 cm for each short flag.
- How much cloth would he need to make 1 long flag?
- How much cloth was he short of to make the remaining long flags?
(a)
Length of 17 short flags + Length of 9 long flags = 89 m
1 m = 100 cm
Length of cloth for each short flag
= 140
12 cm
= 140.5 cm
= 1.405 m
Length of cloth for 17 short flags
= 17 x 1.405
= 23.885 m
Length of cloth for 9 long flags
= 89 - 23.885
= 65.115 m
Length of cloth to make 1 long flag
= 65.115 ÷ 9
= 7.235 m
(b)
Number of remaining long flags that Ryan needed
= 9 - 3
= 6
Length of cloth that he was short of
= Length of 6 long flags
= 6 x 7.235
= 43.41 m
Answer(s): (a) 7.235 m; (b) 43.41 m