SOLUTION: Hi Cecilia gave 3/8 of her salary to her parents. She spent $120 more on a tv than the amount she had given to her parents and had $180 left. how much did she spend on the tv

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Question 1105769: Hi
Cecilia gave 3/8 of her salary to her parents. She spent $120 more on a tv than the amount she had given to her parents and had $180 left.
how much did she spend on the tv.
thanks
Found 2 solutions by jerryguo41, greenestamps:
Answer by jerryguo41(197) (Show Source):
You can put this solution on YOUR website!
First convert your question into equations. Let variables equal to numbers you don't know yet.

S=Cecilia's Salary
P=Money she gave her parents
T=Money she spent on TV

1) Cecilia's salary includes = P + T + 180
2)She spent $120 more on a tv than the amount she had given to her parents:
T = P + 120
3) (3/8)S = P
or
1)
2)
3)

Solve for each.
Combining 1+2

Adding Equation 3

Cecilia's total salary is $1200

Plug in to solve for P,T

Cecilia gave her parents $450

Plug in to solve for T

Cecilia spent $570 on her TV

Answer by greenestamps(13195) (Show Source):
You can put this solution on YOUR website!

The answer from the other tutor was fine. Here is a different approach to the problem.

Let her salary be x. Then...
she gave (3/8)x to her parents;
she spent (3/8)x+$120 on a TV;
she had $180 left

So

Her salary is $1200; 3/8 of that is $450; $120 more is $570.

She spent $570 on the TV.