SOLUTION: Salvador's fruit Mart sells variety packs. The small pack contains three babanas, two apples., and one orange for $ 1.80. The medium pack contains four babanas, three apples, and t

Question 130898This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI
: Salvador's fruit Mart sells variety packs. The small pack contains three babanas, two apples., and one orange for $ 1.80. The medium pack contains four babanas, three apples, and three oranges for $ 3. 05. The family size contains six bananas, five apples, and four oranges for $4.65. What price should Salvador charge for his lunch-box special that consists of one banana, one apple, and one orange? This question is from textbook ALGEBRA FOR COLLEGE STUDENTS MARK DUGOPOLSKI

Answer by fners(16) (Show Source): You can put this solution on YOUR website!
3b+2a+1o=1.8
4b+3a+3o=3.05
6b+5a+4o=4.65
one way to solve is to make a matrix and reduce, using rules including - you can switch rows, you can multiply all four elements in a row by a constant, you can add or subtract one row from another row:
3 2 1 1.8
4 3 3 3.05
6 5 4 4.65
graphing calculators will do this for you. on my ti-89, i enter:
rref([3,2,1,1.8;4,3,3,3.05;6,5,4,4.65])
it returns:
1 0 0 .2
0 1 0 .45
0 0 1 .3
this means
1b+0a+0o=.2
0b+1a+0o=.45
0b+0a+1o=.3
so bananas cost $0.20, apples cost $0.45, and oranges cost $0.30.
I'd buy 'em.

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