Let's analyze each option given and determine which one correctly calculates the cost of one apricot when the cost of a dozen apricots is 360 cents.
1. [tex]\( c = \frac{36}{12} \)[/tex]
- This equation is incorrect because the total cost given is 360 cents, not 36 cents.
2. [tex]\( c = \frac{12}{360} \)[/tex]
- This equation is also incorrect because it suggests that 12 cents is being divided by 360, which doesn't align with the problem's statement needing the cost of an apricot.
3. [tex]\( c = \frac{360}{12} \)[/tex]
- This equation correctly divides the total cost (360 cents) by the number of apricots in a dozen (12). Therefore, this is the correct way to find the cost of one apricot: [tex]\( c = \frac{360}{12} = 30 \)[/tex] cents.
4. [tex]\( 12 = 360 - c \)[/tex]
- This equation incorrectly sets up the problem since it implies that subtracting the cost of one apricot from 360 will equal 12, which doesn't fit the context of finding the individual cost.
Therefore, the correct way to find the cost of an apricot is given by:
[tex]\[ c = \frac{360}{12} \][/tex]
Hence, the cost of one apricot is [tex]\( c = 30 \)[/tex] cents.
