Billy needed exactly 79 m of cloth to make 16 short identical flags and 8 long identical flags. He had some cloth which was just enough to make all the short flags and 3 long flags. He used 123
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 16 short flags + Length of 8 long flags = 79 m
1 m = 100 cm
Length of cloth for each short flag
= 123
12 cm
= 123.5 cm
= 1.235 m
Length of cloth for 16 short flags
= 16 x 1.235
= 19.76 m
Length of cloth for 8 long flags
= 79 - 19.76
= 59.24 m
Length of cloth to make 1 long flag
= 59.24 ÷ 8
= 7.405 m
(b)
Number of remaining long flags that Billy needed
= 8 - 3
= 5
Length of cloth that he was short of
= Length of 5 long flags
= 5 x 7.405
= 37.025 m
Answer(s): (a) 7.405 m; (b) 37.025 m