Simon needed exactly 79 m of cloth to make 22 short identical flags and 7 long identical flags. He had some cloth which was just enough to make all the short flags and 5 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 22 short flags + Length of 7 long flags = 79 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 22 short flags
= 22 x 1.405
= 30.91 m
Length of cloth for 7 long flags
= 79 - 30.91
= 48.09 m
Length of cloth to make 1 long flag
= 48.09 ÷ 7
= 6.87 m
(b)
Number of remaining long flags that Simon needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long flags
= 2 x 6.87
= 13.74 m
Answer(s): (a) 6.87 m; (b) 13.74 m