Calculating Cookie Costs at Beck's Bakery

How much do the cookies cost at Beck's Bakery?

Beck's bakery sold one customer 2 dozen chocolate cookies and 6 dozen oatmeal cookies for 68. The bakery also sold another customer 1 dozen chocolate cookies and 9 dozen oatmeal cookies for 88. How much do the cookies cost?

Answer:

The cost of one dozen chocolate cookies is approximately $3.78.

To find the cost of the chocolate cookies, let's assign a variable to represent the cost of one dozen chocolate cookies. Let's say the cost per dozen is 'x'.

For the first customer, they bought 2 dozen chocolate cookies and 6 dozen oatmeal cookies for a total of 8 dozen cookies. The total cost for this customer can be calculated as 8x.

Similarly, for the second customer, they bought 1 dozen chocolate cookies and 9 dozen oatmeal cookies for a total of 10 dozen cookies. The total cost for this customer can be calculated as 10x.

We are given that the total cost for both customers combined is $68. Therefore, we can set up the equation 8x + 10x = 68 and solve for x.

Combining like terms, we get 18x = 68. Dividing both sides by 18 gives us x = 3.78 (rounded to two decimal places).

Therefore, the cost of one dozen chocolate cookies is approximately $3.78.