Answer :
The cost of each corsage is $22 and each boutonniere costs $21.
What is meant by corsages and boutonnieres ?
- Men wear boutonnieres pinned to their jacket lapels, while women wear corsages pinned to their jackets or on their wrists.
- Although customarily the man purchases the corsage and the woman purchases the boutonniere, it doesn't really matter because, if you so desired, you could purchase 10 boutonnieres for yourself to put all over your outfit.
- The straightforward response is that a boutonniere is normally worn on a man's left lapel, whereas a corsage is typically worn by a woman on her left wrist or chest (pin-on).
- A little bunch of flowers, or perhaps just one flower, is worn by a woman as a corsage.
Last year, Brittany made $621 from the sale of 12 corsages and 17 boutonnieres.
and, she made $754 this year by selling 19 corsages and 16 boutonnieres.
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.
The cost of each corsages and boutonnieres are $22 and $21.
The complete question is:
Brittany has a home-based business making corsages and boutonnieres for school dances. Last year, she sold 12 corsages and 17 boutonnieres, which brought in a total of $621. This year, she sold 19 corsages and 16 boutonnieres, for a total of $754. How much does each item sell for?
To learn more about corsages and boutonnieres refer to:
brainly.com/question/26307781
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