On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account? Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.

Step-by-step explanation:

The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...

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Solving this equation, we can find Mark's withdrawal and his initial deposit.

  145 +1.6d = 265

  1.6d = 120 . . . . . . . the amount Mark withdrew

  d = 120/1.6 = 75 . . . . the amount Mark deposited

Mark put $75 into his savings account.

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Had Mark put $100 into his savings account, the total of withdrawals would have been ...

  Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305

After spending $225 of this amount, they would have had a leftover amount of ...

  $305 -225 = $80

Trisha is not correct in her thinking that there would be more than $100 left over.

step-by-step explanation:

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d? maybe

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