SOLUTION: Alex took clothes to the cleaners three times last month. First, he brought 2 shirts and 2 pairs of slacks and paid $11.96. Then he brought 6 shirts, 3 pairs of slacks,

Question 1146770: Alex took clothes to the cleaners three times last month. First, he brought 2 shirts and 2 pairs of slacks and paid $11.96. Then he brought 6 shirts, 3 pairs of slacks, and 2 sports coats and paid $35.39. Finally, he brought 5 shirts and 2 sports coats and paid $20.43. How much was he charged for each shirt, each pair of slacks, and each sports coat?
Answer by ikleyn(52908) (Show Source): You can put this solution on YOUR website!
.

Let x = for each shirt;

    y = for each pair of slacks,  and

    z = for each sport coat.


Then from the condition you have this set of 3 equations in 3 unknowns


    2x + 2y + 0z = 11.96          (1)

    6x + 3y + 2z = 35.39          (2)

    5x + 0y + 2z = 20.43.         (3)



It can be solved using Substitution, or Elimination, or determinants (the Cramer's rule).



Or, if you are a lazy person, you may use online (free of charge) solver 

http://matrix.reshish.com

RELATED QUESTIONS
Mike took clothes to the cleaners three times last month. First,he brought 4... (answered by Boreal)

Frank bought 2 shirts and 1 pair of slacks for a total of $55. If he had bought 1 shirt... (answered by ewatrrr)

Holy brought several shirts and pants from H&M. The number of shirts bought was 2 more... (answered by ewatrrr)

Please see how to solve the following algebra word problem. I do not know where to start. (answered by scott8148)

A clothes store sells boots, shoes and shirts. Each day, on average, three times as many (answered by Theo)

A boy's outfit consists of slacks, shirt, and shoes. He does not want to wear the same... (answered by richwmiller)

mr. salazar bought 3 shirts and 2 pants for php.2150.a month later, at the same price, he (answered by mananth)

jenny does ironing for a local dry cleaner she is paid 150 per month plus .25 per shirt... (answered by Theo)

Jenny does ironing for a dry cleaner. She is paid $150.00 per month plus .25 per shirt... (answered by mananth)

SOLUTION: Alex took clothes to the cleaners three times last month.​ First, he brought 2 shirts and 2 pairs of slacks and paid ​$11.96. Then he brought 6 ​shirts, 3 pairs of​ slacks,

SOLUTION: Alex took clothes to the cleaners three times last month. First, he brought 2 shirts and 2 pairs of slacks and paid $11.96. Then he brought 6 shirts, 3 pairs of slacks,