Tim needed exactly 84 m of cloth to make 15 small identical flags and 9 big identical flags. He had some cloth which was just enough to make all the small flags and 5 big flags. He used 138
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 15 small flags + Length of 9 big flags = 84 m
1 m = 100 cm
Length of cloth for each small flag
= 138
12 cm
= 138.5 cm
= 1.385 m
Length of cloth for 15 small flags
= 15 x 1.385
= 20.775 m
Length of cloth for 9 big flags
= 84 - 20.775
= 63.225 m
Length of cloth to make 1 big flag
= 63.225 ÷ 9
= 7.025 m
(b)
Number of remaining big flags that Tim needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 big flags
= 4 x 7.025
= 28.1 m
Answer(s): (a) 7.025 m; (b) 28.1 m