Using proportions, it is found that:
a) You would find 36 kg of carbon is a 300 kg piece of marvel.
b) 40% of marble is Calcium.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, the ratio 10:3:12 of calcium, carbon and oxygen means that:
- Calcium is 10/25 of the total.
- Carbon is 3/25 of the total.
- Oxygen is 12/25 of the total.
Hence for item a, the amount is given as follows:
300 x 3/25 = 36.
You would find 36 kg of carbon is a 300 kg piece of marvel.
For item b, the percentage is found as follows:
10/25 = 40%.
40% of marble is Calcium.
More can be learned about proportions at https://brainly.com/question/24372153
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