Question

Sam's school is selling candles and baskets for a fundraiser. On the first day of sales, she sold 11 candles and 3 baskets for a total of $82. She raised $114 on the second day by selling 12 candles and 6 baskets. What is the price for one candle and one basket? PART A: Let x = cost of candles and y = cost of baskets. Write a system of equations that models the situation.

Answer 1

To solve for the price of one candle and one basket, a system of equations is created: 11x + 3y = $82 for the first day and 12x + 6y = $114 for the second day. Solving this system will give the cost of individual items.

Step-by-step explanation:

To find the price of one candle and one basket, we can set up a system of equations based on the information provided about the sales on the first and second day. We let x represent the cost of one candle, and y represent the cost of one basket. From the first day of sales, we have the equation:

11x + 3y = $82 (Equation 1)

From the second day of sales, we have:

12x + 6y = $114 (Equation 2)

These two equations form a system that can be solved by methods such as substitution or elimination to find the individual prices of candles and baskets.