Fabian needed exactly 89 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 3 long flags. He used 118
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 = 89 m
1 m = 100 cm
Length of cloth for each short flag
= 118
12 cm
= 118.5 cm
= 1.185 m
Length of cloth for 22 short flags
= 22 x 1.185
= 26.07 m
Length of cloth for 7 long flags
= 89 - 26.07
= 62.93 m
Length of cloth to make 1 long flag
= 62.93 ÷ 7
= 8.99 m
(b)
Number of remaining long flags that Fabian needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 long flags
= 4 x 8.99
= 35.96 m
Answer(s): (a) 8.99 m; (b) 35.96 m