The amount in Maria's account is $79.
The amount in Karen's account is $73.
<u>Step-by-step explanation:</u>
Karen deposits $28 into her account and she deposits $5 each week into her account.
From this given information, the equation can be framed as y = 28+5x ----(1)
where,
- y is the total amount deposited.
- x is the number of weeks the particular amount is deposited.
The equation for Maria's account is given as y = 7+8x ------(2)
<u>To find the no.of weeks at which they both have same amount of money :</u>
Equating the equations (1) and (2),
⇒ 28 + 5x = 7 + 8x
⇒ 28-7 = 8x-5x
⇒ 21 = 3x
⇒ x = 21/3
⇒ x = 7 weeks
After 7 weeks, the money in the account of Karen & Maria will be same.
<u>To find the amount of money in each girl's account after 2 weeks :</u>
It is given that, you have to calculate amount of money that each girl has in her account 2 weeks after they have the same amount of money in their accounts.
We already know that, it takes 7 weeks for them to have same amount.
So, 7 weeks + 2 weeks = 9 weeks
You have to calculate the amount in each girl's account after 9 weeks.
<u>Karen's account :</u>
Substitute x=9 in eq(1),
⇒ y = 28+5(9)
⇒ y = 28+45
⇒ y = 73
The amount in Karen's account is $73.
<u>Maria's account :</u>
Substitute x=9 in eq(1),
⇒ y = 7+8(9)
⇒ y = 7+72
⇒ y = 79
The amount in Maria's account is $79.
