Question

Cassandra is selling pies, cookies, and brownies for a fundraiser. Cassandra sold each pie for 18$, each cookie for 2$, and each brownie costs 3$. Cassandra made 234$ for the fundraiser by selling 61 items. The numbers of cookies she sold was one less than five times the number of pies sold. FORMULATE AND SOLVE a system of equations to determine the number she sold of each item.

a) She sold 7 pies, 30 cookies, and 24 brownies.
b) She sold 6 pies, 29 cookies, and 26 brownies.
c) She sold 8 pies, 32 cookies, and 21 brownies.
d) She sold 9 pies, 34 cookies, and 18 brownies.

Answer 1

To find the number of pies, cookies, and brownies sold by Cassandra, you must set up and solve a system of three equations: one for total money made, one for total items sold, and one expressing the number of cookies in terms of pies.

Step-by-step explanation:

The student is asked to formulate and solve a system of equations to determine how many pies, cookies, and brownies Cassandra sold during a fundraiser. To solve this, we need to set up three equations based on the information provided:

1. The total amount of money Cassandra made from selling these items is $234.
2. The total number of items sold by Cassandra is 61.
3. The number of cookies sold is one less than five times the number of pies sold.

Let's denote the number of pies Cassandra sold as p, the number of cookies as c, and the number of brownies as b. The following equations can represent the situation:

• 18p + 2c + 3b = 234 (total money made)
• p + c + b = 61 (total items sold)
• c = 5p - 1 (relationship between pies and cookies sold)

After formulating the system of equations, we can solve for p, c, and b simultaneously using methods such as substitution or elimination. The correct combination of pies, cookies, and brownies that satisfies all three equations is the answer to the student's question.