Question 934470: Carla, Beth, and Heidi went on a shopping spree to get ready for college. Carla bought 3 shirts, 4 pairs of pants, and 2 pairs of shoes costing her a total of $149.79. Beth came away with 5 shirts, 3 pairs of pants, and 3 pairs of shoes totaling $183.19. Heidi,not to be outdone, bought 6 shirts, 5 pairs of pants, and a pair of shoes. Her total bill came to $181.14. Assume that all the shirts cost the same price, all the pants cost the same price, and all the shoes cost the same price. Find the cost of a shirt, the cost of a pair of pants, and the cost of a pair of shoes.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! x = dollars per shirt
y = dollars per pair of pants
z = dollars per pair of shoes
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3x + 4y + 2z = 149.79
5x + 3y + 3z = 183.19
6x + 5y + 1z = 181.14
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put the system of linear equations into standard form
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3x + 4y + 2z = 149.79
5x + 3y + 3z = 183.19
6x + 5y + 1z = 181.14
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copy and paste the above standard form linear equations in to this solver:
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solution:
x = dollars per shirt = 12.95
y = dollars per pair of pants = 15.99
z = dollars per pair of shoes = 23.49
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