Answer :
Each corsages sell for $22. And Each boutonnieres sell for $21.
Brittany sold 12 corsages and 17 boutonnieres last year in total of $621.
And she sold 19 corsages and 16 boutonnieres this year for a total of $754.
First, we will create the system of equation from given information
So, the equations are
12x+17y=621..…(1)
19x+16y=754..…(2)
Where,
X=cost of one corsage
Y=cost of one boutonniere
Make y the subject of equation (1)
y=(621-12x)/17
Put this value of y in equation (2)
Therefore
19x+16((621-12x)/17)=754
19x+(9936-192x)/17=754
(323x+9936-192x)/17=754
131x+9936=12818
131x=12818-9936
131x=2882
x=2882/131
x=22
So, the cost of one corsage is $22.
Now, put this value of x in equation (1)
12×22+17y=621
264+17y=621
17y=621-264
y=357/17
y=21
The cost of one boutonniere is $21.
Thus, the cost of each corsages and boutonnieres are $22 and $21.
To know more about system of equation refer to :
https://brainly.com/question/13729904
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