Final answer:
a) Approximately 307 corks would be in 500 grams of such corks. b) Approximately 116 stoppers would be in 500 grams of similar stoppers. c) Approximately 2644.97 grams of rubber stoppers would be needed to contain the same number of stoppers as there are corks in 1.00 kilogram of corks.
Step-by-step explanation:
a) To find the number of corks in 500 grams, we divide the total weight of 500 grams by the weight of one cork (1.63 grams).
500 grams / 1.63 grams = 306.75 corks
Therefore, there would be approximately 307 corks in 500 grams of such corks.
b) To find the number of rubber stoppers in 500 grams, we divide the total weight of 500 grams by the weight of one rubber stopper (4.31 grams).
500 grams / 4.31 grams = 116.0 stoppers
Therefore, there would be approximately 116 stoppers in 500 grams of similar stoppers.
c) To find the number of grams of rubber stoppers needed to contain the same number of stoppers as there are corks in 1.00 kilogram of corks, we need to calculate the weight of one rubber stopper.
1 kilogram = 1000 grams, so we divide 1000 grams by the number of corks in 1 kilogram (1.00 kilogram of corks / 1.63 grams per cork).
1000 grams / 1.63 grams = 613.50 corks
Therefore, we would need approximately 613.50 rubber stoppers to contain the same number of stoppers as there are corks in 1.00 kilogram of corks, which would be equal to 613.50 stoppers * 4.31 grams per stopper = 2644.97 grams of rubber stoppers.