Question 1062995: Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for commission for the sale of a suit? for the sale if a pair of shoes? Write a system of equation to represent situation. Then, solve by the system by substitution.
I have been working on this for 2 hours and I still can't figure it out, please help me.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shoes they sell.
For selling 3 suits and one pair of shoes, Carla has earned $47 in commission.
3u + s = 47 dollars
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For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission.
7u + 2s = 107 dollars
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How much do the salespeople earn for commission for the sale of a suit? for the
sale if a pair of shoes? Write a system of equation to represent situation. Then, solve by the system by substitution.
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The system::
3u + s = 47
7u + 2s = 107
-------
s = 47-3u
Substitute for "s" and solve for "u"::
7u + 2(47-3u) = 107
7u + 94 - 6u = 107
u = $13 (price of one suit)
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Solve for "s":
s = 47-3u
s = 47-3*13
s = $8 (price of one pair of shoes)
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Cheers,
Stan H.
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Answer by MathTherapy(10557)  (Show Source):
You can put this solution on YOUR website!
Carla and Benicio work in a men's clothing store. They earn commission from each suit and each pair of shoes they sell. For selling 3 suits and one pair of shoes, Carla has earned $47 in commission. For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. How much do the salespeople earn for commission for the sale of a suit? for the sale if a pair of shoes? Write a system of equation to represent situation. Then, solve by the system by substitution.
I have been working on this for 2 hours and I still can't figure it out, please help me.
Let commission for selling one suit be S, and for selling one pair of shoes, P
Then for Carla, we get: 3S + P = 47____P = 47 - 3S ------- eq (i)
For Benicio, we get: 7S + 2P = 107 ------- eq (ii)
7S + 2(47 - 3S) = 107 ------- Substituting 47 - 3S for P in eq (ii)
7S + 94 - 6S = 107
7S - 6S = 107 - 94
S, or commission for selling 1 suit = 
P = 47 - 3(13) ------- Substituting 13 for S in eq (i)
P, or commission earned for selling 1 pair of shoes = 
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