Akesia paid $20.20 for 36 rulers and folders. She bought 16 more folders than rulers. If each folder cost $0.50 more than each ruler, how much did each folder cost?
f = r+16
f+r = 36
f = 26, r = 10
If a folder costs x, then a ruler costs x=0.50
26x + 10(x-0.50) = 20.20
Now just find x
To solve this problem, let's break it down step by step:
Let's assume the cost of each ruler is "x" dollars.
Since each folder costs $0.50 more than each ruler, the cost of each folder would be "x + $0.50".
According to the given information, Akesia bought 36 rulers and folders in total, and she bought 16 more folders than rulers. This means that the number of rulers she bought would be (36 - 16) = 20.
Now, we can calculate the total cost of the rulers and folders.
The cost of the 20 rulers would be 20 * x, and the cost of the 16 folders would be 16 * (x + $0.50).
The total amount she paid is given as $20.20. Therefore, we can set up the equation:
20 * x + 16 * (x + $0.50) = $20.20.
Now, let's solve this equation:
20x + 16x + 8 = $20.20.
Combining like terms, we have:
36x + 8 = $20.20.
Subtracting 8 from both sides, we get:
36x = $20.20 - $8.
36x = $12.20.
Finally, we can solve for "x" by dividing both sides by 36:
x = $12.20 / 36.
Now, let's calculate the cost of each folder:
Cost of each folder = x + $0.50.
Substituting the value of x, we get:
Cost of each folder = ($12.20 / 36) + $0.50.
Calculating this expression, we determine that each folder costs approximately $0.86.