Keisha read twice as many books this year as ben read. subtracting 4 from the number of books Keisha read and dividing by 2 gives the number of books Sheldon read. Sheldon read 10 books. How many books did Ben read?
books read by Ben ----- x
books read by Keisha --- 2x
Sheldon ------ (2x-4)/2
(2x-4)/2 = 10
2x-4 = 20
2x = 24
x = 12
Ben read 12 books
Keisha --- 24
Sheldon: (24-4)/2 = 10
To find out how many books Ben read, let's break down the information given step by step:
1. Keisha read twice as many books as Ben. Let's represent the number of books Ben read as 'x'. So, Keisha read 2x books.
2. Subtracting 4 from the number of books Keisha read and dividing by 2 gives the number of books Sheldon read. So, ((2x - 4) / 2) = 10.
Now we can solve the equation to find 'x':
((2x - 4) / 2) = 10.
To get rid of the fraction, we can multiply both sides of the equation by 2:
2x - 4 = 20.
Next, we solve for 'x' by adding 4 to both sides of the equation:
2x = 24.
Finally, divide both sides by 2:
x = 12.
So, Ben read 12 books.
Let's represent the number of books Ben read as "B".
According to the given information, Keisha read twice as many books as Ben, so the number of books Keisha read is 2B.
If we subtract 4 from the number of books Keisha read and divide it by 2, we get the number of books Sheldon read, which is 10.
Mathematically, this can be expressed as:
(2B - 4) / 2 = 10
To find out the number of books Ben read, we need to solve this equation.
Multiplying both sides of the equation by 2, we get:
2B - 4 = 20
Adding 4 to both sides of the equation, we have:
2B = 24
Dividing both sides of the equation by 2, we find:
B = 12
Therefore, Ben read 12 books.