Wren and Jenni are reading the same book. Wren is on page 14 and reads 2 pages every night.
Jenni is on page 6 and reads 3 pages every night.
After how many nights will they have read the same number of pages?
Wren reads 2 pages every night, so after n nights, he will have read 2n pages.
Jenni reads 3 pages every night, so after n nights, she will have read 3n pages.
We want to find the value of n when 2n = 3n.
Subtracting 2n from both sides of the equation gives us: 0 = n.
This means that they will have read the same number of pages after 0 nights.
To find out after how many nights Wren and Jenni will have read the same number of pages, we can set up an equation.
Let's assume the number of nights is represented by n.
For Wren:
Number of pages read = 14 + 2n
For Jenni:
Number of pages read = 6 + 3n
To find when they have read the same number of pages, we can set up the equation:
14 + 2n = 6 + 3n
To solve this equation, we can subtract 2n from both sides:
14 = 6 + n
Next, subtract 6 from both sides:
n = 8
Therefore, after 8 nights, Wren and Jenni will have read the same number of pages.
To find out after how many nights will Wren and Jenni have read the same number of pages, we need to determine when their total number of pages read is equal. Since Wren reads 2 pages every night and Jenni reads 3 pages every night, we can set up an equation to represent the total number of pages they have read after n nights.
Wren's total number of pages read after n nights = 14 + 2n
Jenni's total number of pages read after n nights = 6 + 3n
To find out when their total number of pages read is equal, we need to solve the equation:
14 + 2n = 6 + 3n
First, we can simplify the equation by subtracting 6 from both sides:
14 + 2n - 6 = 3n
This gives us:
8 + 2n = 3n
Next, we can subtract 2n from both sides to isolate the variable n:
8 = 3n - 2n
Simplifying further:
8 = n
So, after 8 nights, Wren and Jenni will have read the same number of pages.