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Annika borrowed a book from the library and forgot to return it on time. The library charges $0.25 per day for the first four days and $0.30 per day for all of the remaining days. If Annika had to pay the library $4.00, how many days late was her book?
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First four days:
$0.25 • 4 days = $1
$4 - $1 = $3
Next days:
$3 / $0.30 per day = 10 days
4 days + 10 days = 14 days
Ah, poor Annika, she must have been lost in the magical world of books and forgot about the real world deadlines. Let's help her out and solve this problem step by step.
Let's assume Annika was x days late returning the book.
For the first four days, she was charged $0.25 per day. So, for the first four days, the cost would be 4 * $0.25 = $1.00.
Now, let's subtract $1.00 from the total amount she had to pay ($4.00 - $1.00 = $3.00). This $3.00 is what she was charged for all of the remaining days.
For the remaining days (x - 4 days), she was charged $0.30 per day. So, the equation would be:
$3.00 = (x - 4) * $0.30
To solve for x, we can divide both sides of the equation by $0.30, which gives us:
$3.00/$0.30 = x - 4
10 = x - 4
To isolate x, we can add 4 to both sides of the equation:
10 + 4 = x
x = 14
So, Annika was 14 days late returning the book.