Riordan needed exactly 82 m of cloth to make 17 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 120
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 17 small flags + Length of 9 big flags = 82 m
1 m = 100 cm
Length of cloth for each small flag
= 120
12 cm
= 120.5 cm
= 1.205 m
Length of cloth for 17 small flags
= 17 x 1.205
= 20.485 m
Length of cloth for 9 big flags
= 82 - 20.485
= 61.515 m
Length of cloth to make 1 big flag
= 61.515 ÷ 9
= 6.835 m
(b)
Number of remaining big flags that Riordan needed
= 9 - 5
= 4
Length of cloth that he was short of
= Length of 4 big flags
= 4 x 6.835
= 27.34 m
Answer(s): (a) 6.835 m; (b) 27.34 m