The freshmen at INCA are having a fundraiser and purchase 1,200 chocolate bars to sell. They pay a fee of $25 to get early delivery so that they can start their fundraiser early. The total cost for the chocolate bars, including the delivery fee, is $745. Write an equation that you could use to solve for the cost of each chocolate bar (c). Then, solve the equation to see how much each chocolate bar costs. (4 points)

Equation- use c for the variable:

1 answer

To find the cost of each chocolate bar, we can start by setting up an equation based on the information provided.

First, we know that the total cost for the chocolate bars, including the delivery fee, is $745. This total cost includes the cost of the chocolate bars plus the delivery fee of $25.

Let \( c \) be the cost of each chocolate bar. Since there are 1,200 chocolate bars, the cost of the chocolate bars alone would be \( 1200c \).

Now, we can express the total cost as follows:

\[ \text{Total Cost} = \text{Cost of Chocolate Bars} + \text{Delivery Fee} \] \[ 745 = 1200c + 25 \]

To isolate the \( 1200c \) term, we will subtract 25 from both sides:

\[ 745 - 25 = 1200c \] \[ 720 = 1200c \]

Now, to solve for \( c \), we divide both sides by 1200:

\[ c = \frac{720}{1200} \]

Now calculating the division:

\[ c = \frac{720 \div 240}{1200 \div 240} = \frac{3}{5} = 0.60 \]

Thus, the cost of each chocolate bar is:

\[ \boxed{0.60} \]

Therefore, each chocolate bar costs $0.60.