Answer:
C. 4 months
Step-by-step explanation:
In order to find what is the equivalent number of months in 120 days, we can apply the following methods:
Since there are 30 days in one month, then we can establish the following proportion statement in colon form:
30 days: 1 month = 120 days : x months
The expression of proportion in colon form, (a : b = c : d):
- a and d represent the extremes,
- b and c are the means.
We could also establish the proportion statement in fraction form (ratio):
[tex]\large \mathsf {\frac{30\:days}{1\:month}\:=\:\frac{120\:days}{x\:months}}[/tex]
Then, use the Cross-product property, which involves the multiplication of extremes and the means:
30 days × x months = 1 month × 120 days
30x = 120
Then, divide both sides by 30 to solve for the value of x:
[tex]\large\sf{\frac{30x}{30}\:=\:\frac{120}{30}}[/tex]
x = 4
Therefore, there are 4 months in 120 days, making Option C as the correct answer.
