Mark needed exactly 87 m of cloth to make 15 small identical flags and 7 big identical flags. He had some cloth which was just enough to make all the small flags and 5 big flags. He used 114
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 7 big flags = 87 m
1 m = 100 cm
Length of cloth for each small flag
= 114
12 cm
= 114.5 cm
= 1.145 m
Length of cloth for 15 small flags
= 15 x 1.145
= 17.175 m
Length of cloth for 7 big flags
= 87 - 17.175
= 69.825 m
Length of cloth to make 1 big flag
= 69.825 ÷ 7
= 9.975 m
(b)
Number of remaining big flags that Mark needed
= 7 - 5
= 2
Length of cloth that he was short of
= Length of 2 big flags
= 2 x 9.975
= 19.95 m
Answer(s): (a) 9.975 m; (b) 19.95 m