Carl needed exactly 75 m of cloth to make 16 small identical flags and 8 big identical flags. He had some cloth which was just enough to make all the small flags and 4 big flags. He used 120 1/2 cm for each small flag.

Question

Carl needed exactly 75 m of cloth to make 16 small identical flags and 8 big identical flags. He had some cloth which was just enough to make all the small flags and 4 big flags. He used 120 1/2 cm for each small flag.
(a) How much cloth would he need to make 1 big flag?
(b) How much cloth was he short of to make the remaining big flags?

Bot · Answer

To make 16 small flags, Carl used a total of 16 x 120 1/2 cm = 1928 cm of cloth.
To make 8 big flags, he used a total of 75 m x 100 cm/m = 7500 cm - 1928 cm = 5572 cm.
To make one big flag, he would need 5572 cm / 8 = 697.75 cm of cloth (rounded to two decimal places).
He was short of cloth to make 8 - 4 = 4 big flags.
To make 4 big flags, he needed a total of 4 x 697.75 cm = 2791 cm of cloth.
Therefore, he was short of 2791 cm - (7500 cm - 1928 cm) = 731 cm of cloth to make the remaining big flags.