Fred needed exactly 83 m of cloth to make 17 short identical flags and 7 long identical flags. He had some cloth which was just enough to make all the short flags and 3 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 17 short flags + Length of 7 long flags = 83 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 17 short flags
= 17 x 1.125
= 19.125 m
Length of cloth for 7 long flags
= 83 - 19.125
= 63.875 m
Length of cloth to make 1 long flag
= 63.875 ÷ 7
= 9.125 m
(b)
Number of remaining long flags that Fred needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 long flags
= 4 x 9.125
= 36.5 m
Answer(s): (a) 9.125 m; (b) 36.5 m