Question

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?

please help me.

Answer 1

The number of days the book was late is 14 days.

The given parameters include;

• let the number of days late before she returned the book = x

The following algebraic equation will be set to calculate the number of days the book was late before it was returned;

$0.25(4) + (x - 4)0.3 = 40$

simplify the equation as follows;

$1 + 0.3x - 1.2 = 4$

collect similar terms together;

$0.3x = 4.2$

divide through by 0.3

$x = \frac{4.2}{0.3} \\\\x = 14 \ days$

Thus, the number of days the book was late is 14 days.

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Answer 2

Find how many days late was her book

The total days late is 14 days

charges per day for first 4 days = $0.25

charges per day for the remaining days = $0.30

Total amount Annika paid = $4.00

let x = number of days of the remaining days

• Total amount paid = Amount paid for first 4 days + amount paid for remaining days

Amount paid for first 4 days = $0.25 × 4

= $1

Amount paid for remaining days = 0.30 × x

= 0.30x

Total amount paid = Amount paid for first 4 days + amount paid for remaining days

4 = 1 + 0.30x

4 - 1 = 0.30x

3 = 0.30x

x = 3/0.30

x = 10 days

Total days late = 4 days + 10 days

= 14 days

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