To return a book to the library on time, Billy needs to read 40 pages every day. However, Billy reads 15 pages fewer than he should each day, and returns the book six days late. In how many days was Billy supposed to read the book?
25 pages/day * (d +6 )= 40 d
25 d + 150 = 40 d
15 d = 150
d = 10 days
Solve:
8y(5y-1)-10y(4y-5)=6y-5(3+y)-67
To find the number of days Billy was supposed to read the book, we can start by determining the number of pages he actually read each day.
Let's assume the number of days Billy was supposed to read the book is "x."
According to the question, Billy reads 15 pages fewer than he should each day. So, if he was reading the correct number of pages each day, the equation would be:
x * 40 = (x + 6) * 40 - 6 * 15
Let's break this equation down:
x * 40: This represents the number of pages Billy should have read if he read 40 pages every day for "x" days.
(x + 6) * 40: This represents the number of pages Billy actually read. Since he was six days late returning the book, he read 40 pages each day for "x + 6" days.
- 6 * 15: This accounts for the 15 pages per day that Billy didn't read. Since there are six days, we subtract 6 * 15 from the equation.
Now, let's simplify the equation:
x * 40 = (x + 6) * 40 - 6 * 15
x * 40 = (x + 6) * 40 - 90
Expanding the equation:
40x = 40x + 240 - 90
40x = 40x + 150
We can see that the "40x" terms on both sides will cancel out:
0 = 150
This equation is not valid, as there is no solution. Therefore, there seems to be an error in the question or the information given.