Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Reba has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 35 corsages and 29 boutonnieres, which brought in a total of $1,408. This year, she sold 24 corsages and 15 boutonnieres, for a total of $858. How much does each item sell for?

A corsage sells for $
, and a boutonniere sells for