Question

It is Saturday and Meghan has a list of things to accomplish today: revise her budget, paint the walls in the spare bedroom, travel to the lake with her friends, and then ski on the lake for the rest of the day provided the weather stays nice. Meghan decides to tackle the budget first. After reviewing her budget, she decides that she really needs to get a part-time job to earn some extra money. She is remodeling the living room and would like to buy some new furniture. Letting x represent her new monthly combined salary, she estimates that 1/4 of her new salary will be used for bills and approximately 1/5 for her car payment. She would like to have $1100 leftover each month, of which $100 will be saved for the new furniture. What must her new monthly salary be? SHOW ALL STEPS USED TO GET THE ANSWER!!

Answer 1

We have:

Let x = new monthly comined salary

1/4x for bills

1/5x for car payment

$1100 leftover each month

Then, the sum of all these payments plus savings should give us your new salary. So:

`(1)/(4)x+(1)/(5)x+1100=x`

And solve for x

`\begin{gathered} 0.25x+0.2x+1100=x \\ 0.45x+1100=x \\ 0.45x+1100-0.45x=x-0.45x \\ 1100=0.55x \\ (1100)/(0.55)=(0.55x)/(0.55) \\ x=2000 \end{gathered}`

Therefore, her new monthly salary must be $2000

Answer: $2000