Serena 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?
10 rulers and 26 folders
rulers are $.20 each and folder $.70 each
I don't know i came here for the answers!!
To find out how much each folder cost, we need to solve the problem step by step.
Let's assume the cost of each ruler is 'x' dollars.
According to the problem, Serena bought 36 rulers and folders in total. We know that she bought 16 more folders than rulers. So, the number of rulers she bought would be 36 - 16 = 20 rulers.
Now, let's calculate the total cost of the rulers. Since each ruler costs 'x' dollars, the total cost of the rulers would be 20 * x = 20x dollars.
We are also given that each folder costs $0.50 more than each ruler. So, the cost of each folder would be 'x + 0.50' dollars.
Now, let's calculate the total cost of the folders. The number of folders Serena bought is 20 + 16 = 36 folders. So, the total cost of the folders would be 36 * (x + 0.50) = 36x + 18 dollars.
According to the problem, Serena paid $20.20 in total for the rulers and folders. Therefore, the equation can be written as:
20x + 36x + 18 = 20.20
Simplifying the equation, we get:
56x + 18 = 20.20
Subtracting 18 from both sides of the equation:
56x = 20.20 - 18
56x = 2.20
Dividing both sides of the equation by 56:
x = 2.20 / 56
x ≈ 0.0393
Now, we need to find the cost of each folder. Since each folder costs 'x + 0.50' dollars, substituting the value of 'x' we found, we get:
Cost of each folder ≈ 0.0393 + 0.50
Cost of each folder ≈ 0.5393
So, each folder costs approximately $0.5393.
rulers --- x
folders --- x+16
x + x+16 = 36
2x = 20
x = 10 , then y = 26
so she bought 10 rulers and 16 folders
now to the cost:
cost of ruler --- y
cost of folder --- y + .5
10y + 16(y+ .5) = 20,2
10y + 16y + 8 = 20.2
26y = 12.2
y = .4692
A ruler costs $0.47 and a folder costs $ 0.97
check:
10(.47) + 16(.97) = 20.22