Liam needed exactly 80 m of cloth to make 15 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 135
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 15 short flags + Length of 7 long flags = 80 m
1 m = 100 cm
Length of cloth for each short flag
= 135
12 cm
= 135.5 cm
= 1.355 m
Length of cloth for 15 short flags
= 15 x 1.355
= 20.325 m
Length of cloth for 7 long flags
= 80 - 20.325
= 59.675 m
Length of cloth to make 1 long flag
= 59.675 ÷ 7
= 8.525 m
(b)
Number of remaining long flags that Liam needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 long flags
= 2 x 8.525
= 17.05 m
Answer(s): (a) 8.525 m; (b) 17.05 m