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:

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:

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

Substitute Y in equation 2:

Solve for X:

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

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.