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Karen has a total amount of $ 101

Maria has a total amount of $ 86

Explanation:

We'll begin by obtaining an expression for the total amount of money in Karen's account. This can be obtained as follow:

Let the number of weeks be x

Let the total amount be y

Karen deposited $ 28 when she opened the account and then deposit $ 5 weekly.

The total amount in x week can be written as:

y = 28 + 5x

For Maria, the total amount in x week is given by:

y = 8x + 7

Next, we shall determine the number of weeks in which they both have the same amount in their account.

For Karen's account, the total amount is:

y = 28 + 5x

For Maria's account, the total amount is:

y = 8x + 7

Total in Karen's = Total in Maraia's

28 + 5x = 8x + 7

Collect like terms

28 – 7 = 8x – 5x

21 = 3x

Divide both side by 3

x = 21/3

x = 7

Thus, they both have the same amount in the 7th week.

Next, we shall determine the total amount in each account in the 7th week. This is illustrated below:

For Karen's account,

y = 28 + 5x

x = 7

y = 28 + 5(7)

y = 28 + 35

y = $ 63

For Maria's account,

y = 8x + 7

x = 7

y = 8(7) + 7

y = 56 + 7

y = $ 63

Finally, we shall determine the total amount in each account 2 weeks after they have the same amount in their account. This is illustrated below:

For Karen's account,

y = 28 + 5x

x = 2

y = 28 + 5(2)

y = 28 + 10

y = $ 38

Total amount = 63 + 38 = $ 101

For Maria's account,

y = 8x + 7

x = 2

y = 8(2) + 7

y = 16 + 7

y = $ 23

Total amount = 63 + 23 = $ 86

SUMMARY:

Karen has a total amount of $ 101

Maria has a total amount of $ 86

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