Aschool library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payment is made. jada and juan each had a book that was overdue. jada paid a fine that was $2.40 more than juan’s fine. which statement about the overdue books is true?
jada’s book was overdue by 1 more day than juan’s book.
jada’s book was overdue by 2 more days than juan’s book.
jada’s book was overdue by 24 more days than juan’s book.
jada’s book was overdue by 48 more days than juan’s book.

Option 2 - Jada’s book was overdue by 2 more days than Juan’s book.

Step-by-step explanation:

Given : A school library charges a fine of 5 cents on the first day a book is overdue, then doubles the amount owed each day until payment is made.

Jada and Juan each had a book that was overdue. Jada paid a fine that was $2.40 more than Juan’s fine.

To find :  Which statement about the overdue books is true?

Solution :

First we convert $2.40 into cents

1 dollar = 100 sent

$2.40 = 2.40 × 100 = 240 cents

Let x be the amount overdue by Jada

Let y be the amount overdue by Juan

The equation form is :

By Jada the payment is

By Juan the payment is

Jada paid a fine that was $2.40 more than Juan’s fine they were equal .

Therefore,

    (x>y)

Now, we rewrite the RHS and  LHS such that,

Comparing the coefficients of LHS with RHS

y= 4 and x-y=2⇒x=6

Therefore, the overdue days were x-y=6-4=2

Hence, Jada’s book was overdue by 2 more days than Juan’s book.

So, Option 2 is correct.

Step-by-step explanation:

Find JT:

Step 1:

Step 2: Combine like terms.

Step 3: Divide 30 by 3x.

Step 4: Finished.