High School

Barbara has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 28 corsages and 26 boutonnieres, which brought in a total of $1,426. This year, she sold 40 corsages and 35 boutonnieres, for a total of $1,975.

How much does each item sell for?

Answer :

To determine the prices of corsages and boutonnieres sold by Barbara, we set up a system of equations with two unknowns representing the prices and solve it.

To solve this problem, we need to set up a system of equations. Let's let x be the price of one corsage and let y be the price of one boutonniere. From the information provided, we can write our equations based on the number of corsages and boutonnieres sold and the total revenue in each year.

Last year's equation: 28x + 26y = 1426

This year's equation: 40x + 35y = 1975

Now, we will solve this system of equations using a method such as substitution or elimination to find the values of x and y.

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