Henry needed exactly 90 m of cloth to make 20 small identical flags and 7 big identical flags. He had some cloth which was just enough to make all the small flags and 4 big flags. He used 117
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 20 small flags + Length of 7 big flags = 90 m
1 m = 100 cm
Length of cloth for each small flag
= 117
12 cm
= 117.5 cm
= 1.175 m
Length of cloth for 20 small flags
= 20 x 1.175
= 23.5 m
Length of cloth for 7 big flags
= 90 - 23.5
= 66.5 m
Length of cloth to make 1 big flag
= 66.5 ÷ 7
= 9.5 m
(b)
Number of remaining big flags that Henry needed
= 7 - 4
= 3
Length of cloth that he was short of
= Length of 3 big flags
= 3 x 9.5
= 28.5 m
Answer(s): (a) 9.5 m; (b) 28.5 m