SOLUTION: 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

Algebra.Com
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
--------------------------
For selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission.
7u + 2s = 107 dollars
-------------------------------------
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.
---------------
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)
----
Solve for "s":
s = 47-3u
s = 47-3*13
s = $8 (price of one pair of shoes)
-------------
Cheers,
Stan H.
-----------------
Answer by MathTherapy(10551)   (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 =  

RELATED QUESTIONS


Carla and benicio work in a men's clothing store. They earn commission from each suit and  (answered by TimothyLamb)

Carla and Benicio work in a men's clothing store. They earn commission from each suit and  (answered by jorel1380)

Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair... (answered by jorel555)

Mr. Nordmann gets a commission of $2.50 on each pair of women’s shoes he sells, and a... (answered by Glaviolette)

John went to his favorite Young Men clothing store and bought himself a new shirt, pants... (answered by math_tutor2020,greenestamps)

A shoe store costs $1800 a month to operate.  The average wholesale cost of each pair of... (answered by rwm)

Amber sells athletic shoes part-time at a department store. She can earn either $500 per... (answered by rfer)

Tom sells shoes part time at a department store. He can earn either $500 per month plus... (answered by stanbon,mananth)

A store sells 3 times as many women’s shoes as
men’s shoes.  Each week it is able to buy  (answered by jim_thompson5910)