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Sally deposits $0.20 into her savings account for every $x she deposits into her checking account. If Sally's deposits into her savings account are 90% of the amount she deposits into her checking account, how much money does she deposit into her checking account for every $0.20 she deposits into her savings account? Round the answer to the nearest cent.

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Final answer:

Sally deposits approximately $0.22 into her checking account for every $0.20 she deposits into her savings account, as the savings deposits are 90% of the checking deposits.

Step-by-step explanation:

The question asks us to determine how much money Sally deposits into her checking account for every $0.20 she deposits into her savings account, given that her savings deposits are 90% of her checking deposits. To find the amount deposited into the checking account, we can set up a proportion since the saving deposit is defined as a percentage of the checking deposit. Let's denote the amount deposited into the checking account as $x.

Given that Sally deposits $0.20 into her savings for every $x in her checking account, and these savings deposits are 90% of the checking amount, we can write:

0.20 = 0.90 × $x

To find $x, divide both sides of the equation by 0.90:

$x = 0.20 / 0.90

$x = $0.22 (rounded to the nearest cent)

Therefore, Sally deposits approximately $0.22 into her checking account for every $0.20 she deposits into her savings account.

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