SOLUTION: A store sold 32 pairs of jeans for a total of $1050. Brand A sold for $30 per pair, And brand B for $35 per pair. How many of each brand was sold?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: A store sold 32 pairs of jeans for a total of $1050. Brand A sold for $30 per pair, And brand B for $35 per pair. How many of each brand was sold?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1112178: A store sold 32 pairs of jeans for a total of $1050. Brand A sold for $30 per pair,
And brand B for $35 per pair. How many of each brand was sold?

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!

.
Let x be the number of the jeans sold of the brand A.

Then the number of those of the brand B is (32-x).


Your "money" equation is 

30x + 35*(32-x) = 1050.


Simplify and solve for x.


30x + 1120 - 35x = 1050

-5x = 1050 - 1120 = -70  ====>  x = %28-70%29%2F%28-5%29 = 14.



Answer.  14 jeans of the brand A and the rest 32-14 = 18 jeans of the brand B.


Check.  14*30 + 18*35 = 1050.   ! Correct !