Final answer:
The correct answer is b) 61.88 g of salt needed to make 165 g of salt water with 37.5% salt by mass. You calculate this by multiplying the total mass of the solution by the mass percentage of the salt.
Step-by-step explanation:
To determine how many grams of salt are needed to make 165 g of salt water that is 37.5% salt by mass, we can set up a simple equation based on the mass percentage formula:
Mass of salt = Mass of salt water × Mass percentage of salt
This calculation yields the following:
Mass of salt = 165 g × 0.375
After performing the multiplication, we find that:
Mass of salt = 61.875 g
This value can be rounded to the nearest hundredth, giving us a final answer of:
Mass of salt = 61.88 g
Therefore, the correct answer is b) 61.88 g of salt needed to prepare the solution.