Flynn needed exactly 87 m of cloth to make 16 short identical flags and 7 long identical flags. He had some cloth which was just enough to make all the short flags and 4 long flags. He used 111
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 16 short flags + Length of 7 long flags = 87 m
1 m = 100 cm
Length of cloth for each short flag
= 111
12 cm
= 111.5 cm
= 1.115 m
Length of cloth for 16 short flags
= 16 x 1.115
= 17.84 m
Length of cloth for 7 long flags
= 87 - 17.84
= 69.16 m
Length of cloth to make 1 long flag
= 69.16 ÷ 7
= 9.88 m
(b)
Number of remaining long flags that Flynn needed
= 7 - 4
= 3
Length of cloth that he was short of
= Length of 3 long flags
= 3 x 9.88
= 29.64 m
Answer(s): (a) 9.88 m; (b) 29.64 m