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.
Answers
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
The system of equations:
Nancy: [tex]y=\$425+\$25x[/tex]
Sam : [tex]y=\$705-\$15x[/tex]
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'.
[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]
The equation for Nancy:
[tex]y=\$425+\$25x[/tex]
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'
[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]
The equation for Sam:
[tex]y=\$705-\$15x[/tex]
Learn more about system of equations here:
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