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22 January, 21:24

Christiana and Marlena opened their first savings accounts on the same day. Christiana opened her account with $55 and plans to deposit $10 every month. Marlena opened her account with $35 and plans to deposit $15 every month. After how many months will their two accounts have the same amount of money? What will that amount be?

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  1. 22 January, 21:41
    0
    6.5 weeks.

    55+50=105

    35+60=95

    It gets too wide when we double again.

    55 + 100 = 155

    35+150=185

    Therefore 55+70 = 125

    35+105 = 125 Still too wide.

    55+60=115

    35+90 = 125

    The answer is between 6 + 7 weeks.

    We then look at days.

    Divide 55 weeks into 6.5 weeks less one day. Then apply 6.5

    8.5 x 6.5 = 55 but when we plus 8.5+6.5=15

    Divide 35 weeks into 6.5 weeks no remainder

    5.5 x 6.5 = 35.75 = 12

    We see the ratio is 4:5

    Banks round down and up for. 5 answers.

    Therefore both decimals round up so the answer is 6.5 weeks.
  2. 23 January, 01:05
    0
    Answer: it will take 4 months for the amount to be the same and the amount would be $95

    Step-by-step explanation:

    Let x represent the number if months it will take for the two accounts have the same amount of money.

    Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be

    10x + 55

    Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be

    15x + 35

    For the amount in the accounts to be the same, the number of months would be

    15x + 35 = 10x + 55

    15x - 10x = 55 - 35

    5x = 20

    x = 20/5

    x = 4

    The amount would be

    15 * 4 + 35

    = 60 + 35

    = $95
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