Given :
Kristen started the year with $635 in the bank and is saving $35 a week.
Casey started the year with $835 and is spending $15 a week.
To Find :
Kristen’s equation.
Casey’s equation.
When will they have the same amount of money in the bank.
Solution :
Since, Kristen is saving $35 every month, price increase in x months :
[tex]P_k = 635 + 35x[/tex]
Also, Casey is spending $15 month.
[tex]P_c = 835 - 15x[/tex]
Now, let after n months both have same amount of money in the bank :
So, [tex]P_k = P_c[/tex]
[tex]35x + 635 = 835 - 15x\\\\50x = 200\\\\x = 4\ months[/tex]
Therefore, they have same amount of money after 4 months.
