Question

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

What’s kristen’s equation?

What’s Casey’s equation?

when will they have the same amount of money in the bank?

Answer 1

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 :

`P_k = 635 + 35x`

Also, Casey is spending $15 month.

`P_c = 835 - 15x`

Now, let after n months both have same amount of money in the bank :

So,
`P_k = P_c`

`35x + 635 = 835 - 15x\\\\50x = 200\\\\x = 4\ months`

Therefore, they have same amount of money after 4 months.