Andy needed exactly 81 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 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 18 short flags + Length of 6 long flags = 81 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 18 short flags
= 18 x 1.115
= 20.07 m
Length of cloth for 6 long flags
= 81 - 20.07
= 60.93 m
Length of cloth to make 1 long flag
= 60.93 ÷ 6
= 10.155 m
(b)
Number of remaining long flags that Andy needed
= 6 - 4
= 2
Length of cloth that he was short of
= Length of 2 long flags
= 2 x 10.155
= 20.31 m
Answer(s): (a) 10.155 m; (b) 20.31 m