Alice’s take-home pay last year was the same each month, and she saved the same fraction of her take-home pay each month. the total amount of money that she had saved at the end of the year was 3 times the amount of that portion of her monthly take-home pay that she did not save. if all the money that she saved last year was from her take-home pay, what fraction of her take-home pay did she save each month?
a. 1/2
b. 1/3
c. 1/4
d. 1/5
e. 1/6

The answer is D. 1/5

Step-by-step explanation:

Let´s write equation for each of the senteneces in the question:

Alice saved the same fraction for her take-home pay (THP) each month => Savings_month = X*THP, where "X" is the fraction of the THP she saves.She saved 3 times the amount of money she didn´t save by the end of 12 months => Savings_12months = 12*X*THP = 3*Y*THP, where "Y" is the fraction of the money she did not saveWe can also conclude that the THP is the sum of her savings and what she did not save => THP = X*THP + Y*THP

We have 2 equations:

THP is on both sides on both equations, that means we can divide the equation on both sides by THP to get rid of it and have easier to read equations:

12X = 3Y1 = X + Y

From equation 1, solve for Y and we get the following:

Y = 4X

Substitute Y in equation 2:

1 = X + 4X

Solve for X:

1 = 5XX = 1/5

We know that X is the fraction of THP Alice is saving, therefore the answer is D.

That’d be 9 years or something

You can find it by multiplying the areas it show u