High School

The masses of salt and fresh water in sea water at Protaras, Cyprus, are in the ratio 7:193. How many kilograms of salt are there in 1000 kg of sea water?

A. 7 kg
B. 193 kg
C. 7.14 kg
D. 192.86 kg

Answer :

Final answer:

The amount of salt in 1000 kg of sea water can be found by dividing the total mass by the number of units in the ratio and then multiplying by the number of salt units. Option C) is correct.

Explanation:

We are given that the masses of salt and fresh water in sea water are in the ratio 7:193. This means that for every 7 units of salt, there are 193 units of fresh water. To find the amount of salt in 1000 kg of sea water, we need to determine how much each unit of salt weighs. We can do this by dividing the total mass of sea water (1000 kg) by the total number of units in the ratio (7 + 193).

This gives us the weight of one unit, which is approximately 5 kg. Finally, we can multiply the weight of one unit by 7 to find the amount of salt in 1000 kg of sea water, which is 35 kg.

Therefore, the correct answer is option C) 7.14 kg.

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