Kendall bought 6 notebooks and 3 pens for a total of $27.00. The cost of one notebook is $1.50 more than the cost of one pen. What is the combined cost of one notebook and one pen?

Answer 1

Start by setting up the equation of notebooks and pens with the total cost,

6n + 3p= 27

We are told that the cost of one notebook is $1.50 more than 1 pen, finding the second equation of,

n= 1.50 +1p

Sub "n" in the 1st equation and solve,

6(1.50+ 1p) + 3p= 27

6 x 1.50=9

6x 1p= 6p

9+ 6p+ 3p= 27

Combine like terms and solve for p,

9p = 18

p= 2

Sub 2 for "p" into the the 2nd equation to solve for "n",

n= 1.50+2

n=3.50

Add p and n together to find the total cost for 1 pen and 1 notebook to find your answer,

2+3.50= $5.50

You can check your answer by multiplying the pens (2x3=6) & notebooks (3.50x6=21) and add them together to get the total of 27