David needed exactly 80 m of cloth to make 16 small identical flags and 8 big identical flags. He had some cloth which was just enough to make all the small flags and 4 big flags. He used 132
12 cm for each small flag.
- How much cloth would he need to make 1 big flag?
- How much cloth was he short of to make the remaining big flags?
(a)
Length of 16 small flags + Length of 8 big flags = 80 m
1 m = 100 cm
Length of cloth for each small flag
= 132
12 cm
= 132.5 cm
= 1.325 m
Length of cloth for 16 small flags
= 16 x 1.325
= 21.2 m
Length of cloth for 8 big flags
= 80 - 21.2
= 58.8 m
Length of cloth to make 1 big flag
= 58.8 ÷ 8
= 7.35 m
(b)
Number of remaining big flags that David needed
= 8 - 4
= 4
Length of cloth that he was short of
= Length of 4 big flags
= 4 x 7.35
= 29.4 m
Answer(s): (a) 7.35 m; (b) 29.4 m