Flynn needed exactly 75 m of cloth to make 18 short identical flags and 6 long identical flags. He had some cloth which was just enough to make all the short flags and 4 long flags. He used 112
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 6 long flags = 75 m
1 m = 100 cm
Length of cloth for each short flag
= 112
12 cm
= 112.5 cm
= 1.125 m
Length of cloth for 18 short flags
= 18 x 1.125
= 20.25 m
Length of cloth for 6 long flags
= 75 - 20.25
= 54.75 m
Length of cloth to make 1 long flag
= 54.75 ÷ 6
= 9.125 m
(b)
Number of remaining long flags that Flynn needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long flags
= 2 x 9.125
= 18.25 m
Answer(s): (a) 9.125 m; (b) 18.25 m