The price of a notebook is $1.5 and the price of the pen is $0.75
Explanation:
Samantha bought :
The number of notebooks she bought = 5
The number of pens she bought = 2
The total cost of the items = $9.
Jeffrey bought :
The number of notebooks he bought = 3
The number of pens he bought = 2
The total cost of the items = $6.
To find the price of a notebook and a pen :
Let us assume,
- The price of a notebook be 'x'.
- The price of a pen be 'y'.
The equation is formed as,
5x+2y = 9 --------(1)
3x+2y = 6 --------(2)
Subtract eq(2) from eq(1),
5x+2y = 9
-(3x+2y = 6)
2x = 3
x = 3/2
x = $1.5
The price of a notebook is $1.5
Substitute x=1.5 in eq(2),
3(1.5)+2y = 6
4.5 + 2y = 6
2y = 6-4.5
2y= 1.5
y = 1.5 / 2
y = $0.75
The price of the pen is $0.75