emily receives her paycheck for the month. she spends 1/6 of it on food. she then spends 3/5 of what remains on her house payment. she spends 1/3 of what is then left for her other bills. finally, she spends 1/4 of the remaining money for entertainment. this activity leaves her with $150, that she puts into savings. what was her original take- home pay?

Explanation:

Translate every word sentence into an algebraic operation or expression to find and solve an equation:

1) Name the variable:

2) She spends 1/6 of it on food means:

3) She then spends 3/5 of what remains on her house payment.

4) She spends 1/3 of what is then left for her other bills.

5) Finally, she spends 1/4 of the remaining money for entertainment:

6) This activity leaves her with $150:

Solve for x:

Her original take - home pay was $ 900

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0