# I go to the store to buy school supplies. I spend $8.52. I buy one notebook$2.55 and three pens which are each the same price. What is the price of a pen?

May 9, 2018

The price of the pen is $1.99 #### Explanation: Notebook = x Pen = y Formula Cost = x + 3y if you know that the total cost is$8.52 and that the notebook cost $2.55, you can solve the question like so: $8.52 = $2.55 +3y $8.52 - $2.55 = 3y ($5.97)/3 = y --> cancels the 3

$1.99 = y May 9, 2018 The price of one pen is $1.99.

#### Explanation:

Let's list out what we know:

One notebook = $2.55 3 pens $=$unknown price Total spent =$8.52

Let's let the price of one pen be $p$. Now we form an equation to solve for $p$:
$2.55 + 3 p = 8.52$

Subtract $\textcolor{b l u e}{2.55}$ from both sides:
$2.55 + 3 p \quad \textcolor{b l u e}{- \quad 2.55} = 8.52 \quad \textcolor{b l u e}{- \quad 2.55}$

$3 p = 5.97$

Divide both sides by $\textcolor{b l u e}{3}$:
$\frac{3 p}{\textcolor{b l u e}{3}} = \frac{5.97}{\textcolor{b l u e}{3}}$

$p = 1.99$

Therefore, the price of one pen is \$1.99.

Hope this helps!