cheryl purchased 5 books for the same amount as Carla who purchased 3 books and a $8.00 briefcase. What was the cost of each book?
5x = 3x + 8
Solve for x.
Let's assume the cost of each book Cheryl purchased is 'x'.
According to the given information:
Cheryl purchased 5 books, so the total cost of the books is 5x.
Carla purchased 3 books and a $8.00 briefcase, so the total cost of her purchase is 3x + $8.00.
As per the problem statement, Cheryl and Carla purchased books for the same amount, so we can equate their total costs:
5x = 3x + $8.00
Now, let's solve the equation to find the value of 'x'.
Subtract 3x from both sides of the equation:
5x - 3x = $8.00
Combine like terms:
2x = $8.00
Divide both sides of the equation by 2:
2x/2 = $8.00/2
x = $4.00
Therefore, the cost of each book is $4.00.
To find the cost of each book, we need to set up an equation based on the given information.
Let's assume the cost of each book is 'x'.
According to the problem, Cheryl purchased 5 books for the same amount as Carla who purchased 3 books and a $8.00 briefcase.
From this, we can write the equation:
5x = (3x) + 8
To solve the equation, we'll combine like terms:
5x = 3x + 8
Next, we'll isolate the x term by subtracting 3x from both sides of the equation:
5x - 3x = 3x + 8 - 3x
2x = 8
Finally, to solve for 'x', we divide both sides of the equation by 2:
2x/2 = 8/2
x = 4
Therefore, the cost of each book is $4.