Ivan needed exactly 86 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 5 big banners. He used 119
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 = 86 m
1 m = 100 cm
Length of cloth for each small banner
= 119
12 cm
= 119.5 cm
= 1.195 m
Length of cloth for 16 small banners
= 16 x 1.195
= 19.12 m
Length of cloth for 8 big banners
= 86 - 19.12
= 66.88 m
Length of cloth to make 1 big banner
= 66.88 ÷ 8
= 8.36 m
(b)
Number of remaining big banners that Ivan needed
= 8 - 5
= 3
Length of cloth that he was short of
= Length of 3 big banners
= 3 x 8.36
= 25.08 m
Answer(s): (a) 8.36 m; (b) 25.08 m