George needed exactly 90 m of cloth to make 18 short identical flags and 9 long identical flags. He had some cloth which was just enough to make all the short flags and 5 long flags. He used 120
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 18 short flags + Length of 9 long flags = 90 m
1 m = 100 cm
Length of cloth for each short flag
= 120
12 cm
= 120.5 cm
= 1.205 m
Length of cloth for 18 short flags
= 18 x 1.205
= 21.69 m
Length of cloth for 9 long flags
= 90 - 21.69
= 68.31 m
Length of cloth to make 1 long flag
= 68.31 ÷ 9
= 7.59 m
(b)
Number of remaining long flags that George needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 long flags
= 4 x 7.59
= 30.36 m
Answer(s): (a) 7.59 m; (b) 30.36 m