Howard needed exactly 87 m of cloth to make 22 small identical flags and 7 big identical flags. He had some cloth which was just enough to make all the small flags and 3 big flags. He used 121
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 22 small flags + Length of 7 big flags = 87 m
1 m = 100 cm
Length of cloth for each small flag
= 121
12 cm
= 121.5 cm
= 1.215 m
Length of cloth for 22 small flags
= 22 x 1.215
= 26.73 m
Length of cloth for 7 big flags
= 87 - 26.73
= 60.27 m
Length of cloth to make 1 big flag
= 60.27 ÷ 7
= 8.61 m
(b)
Number of remaining big flags that Howard needed
= 7 - 3
= 4
Length of cloth that he was short of
= Length of 4 big flags
= 4 x 8.61
= 34.44 m
Answer(s): (a) 8.61 m; (b) 34.44 m