Respuesta :
To answer we let x be the amount of money that Sam invested during the first year.Â
Below are the expressions translated from the given word forms for the amount invested.
Sam:
2nd year : Â amount = 5x/2 - 2000
3rd year  :  amount = x/5 + 1000
The sum of money invested by Sam is:
 x + (5x/2 - 2000) + (x/5 + 1000)
Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year  :   amount  = 3x/2 - 1000
2nd year : Â Â amount = 2x - 1500
3rd year : Â Â amount = x/4 + 1400
The total amount that Sally invested is,Â
    total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Equating the two equations:
 (x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
 Solving for x,
        x = 2000
For Sally's investment in the third year:
  amount = x/4 + 1400 = (2000/4 + 1400) = 1900
ANSWERS:Â
 Sam's first year = $2000
 Sally's third year = $1900
Below are the expressions translated from the given word forms for the amount invested.
Sam:
2nd year : Â amount = 5x/2 - 2000
3rd year  :  amount = x/5 + 1000
The sum of money invested by Sam is:
 x + (5x/2 - 2000) + (x/5 + 1000)
Similarly, we derive the expressions that we use for the amount that Sally invested.
Sally
1st year  :   amount  = 3x/2 - 1000
2nd year : Â Â amount = 2x - 1500
3rd year : Â Â amount = x/4 + 1400
The total amount that Sally invested is,Â
    total = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
Equating the two equations:
 (x) + (5x/2 - 2000) + (x/5 + 1000) = (3x/2 - 1000) + (2x - 1500) + (x/4 + 1400)
 Solving for x,
        x = 2000
For Sally's investment in the third year:
  amount = x/4 + 1400 = (2000/4 + 1400) = 1900
ANSWERS:Â
 Sam's first year = $2000
 Sally's third year = $1900
The amount Sam invested the first year is $2000 and the amount Sally invested the last year is $1900.
