Final answer:
Margo spent $45 and received $30.15 in change after buying 6 packages of construction paper; $14.85 is the total cost for the construction paper. The price per package can be found by dividing the total cost by the number of packages: $14.85 / 6 is approximately $2.475.
Step-by-step explanation:
To find the price of one package of construction paper that Margo buys, we set up an equation based on the information provided. Margo had a budget of $45 and received $30.15 in change after buying 6 packages of construction paper. The total spent on the construction paper is the initial budget minus the change received. Thus, the equation that represents the amount spent on the construction paper is:
Amount spent = Initial budget - Change received
Substituting the given values, we get:
45 - 30.15 = 6x
Now we can solve for x, which represents the price of one package of construction paper:
45 - 30.15 = 14.85 = 6x
Divide each side by 6 to find x:
x = 14.85 / 6
x ≈ $2.475
So, the price of one package of construction paper is approximately $2.475.