## At an office supply store, Samantha bought 5 notebooks and 2 pens for \$9. Jeffrey bought 3 notebooks and 2 pens for \$6. Find the price of a

Question

At an office supply store, Samantha bought 5 notebooks and 2 pens for \$9. Jeffrey bought 3 notebooks and 2 pens for \$6. Find the price of a notebook and find the price of a pen.

in progress 0
2 weeks 2021-10-05T01:53:06+00:00 1 Answer 0

1. The price of a notebook is \$1.5 and the price of the pen is \$0.75

Step-by-step 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