Tommy needed exactly 80 m of cloth to make 16 small identical banners and 8 big identical banners. He had some cloth which was just enough to make all the small banners and 3 big banners. He used 112
12 cm for each small banner.
- How much cloth would he need to make 1 big banner?
- How much cloth was he short of to make the remaining big banners?
(a)
Length of 16 small banners + Length of 8 big banners = 80 m
1 m = 100 cm
Length of cloth for each small banner
= 112
12 cm
= 112.5 cm
= 1.125 m
Length of cloth for 16 small banners
= 16 x 1.125
= 18 m
Length of cloth for 8 big banners
= 80 - 18
= 62 m
Length of cloth to make 1 big banner
= 62 ÷ 8
= 7.75 m
(b)
Number of remaining big banners that Tommy needed
= 8 - 3
= 5
Length of cloth that he was short of
= Length of 5 big banners
= 5 x 7.75
= 38.75 m
Answer(s): (a) 7.75 m; (b) 38.75 m