Question

Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending S15 a week. Write a system of equations that model the following situation.
Define cach variables with a "Let" statement, write two equations, and solve completely.

Answer 1

Answer:

Step-by-step explanation:

Let x equal number of weeks and y equal money in the bank.

Nancy, y=425+25x

Sam, y=705-15x

Answer 2

The system of equations:

Nancy:   $y=\ 425+\ 25x$

Sam :   $y=\ 705-\ 15x$

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

To find:

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

$y=\ 425+\ 25\times x\\y=\ 425+\ 25x$

The equation for Nancy:

$y=\ 425+\ 25x$

2)

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

$y=\ 705-\ 15\times x\\y=\ 705-\ 15x$

The equation for Sam:

$y=\ 705-\ 15x$

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