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Home Q & A Board Science-Related Homework Help Mathematics
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Catracho Catracho
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5 years ago Edited: 5 years ago, bio_man
Sarah took clothes to the cleaners three times last month. First, she brought 3 shirts and 2 pairs of slacks and paid $13.95. Then she brought 7 shirts, 2 pairs of slacks, and 2 sports coats and paid $34 89. Finally, she brought 5 shirts and 1 sports coat and paid $16.44. How much was she charged for each shirt, each pair of slacks, and each sports coat?
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#1
Educator
5 years ago Edited: 5 years ago, bio_man
Quote from: Catracho (5 years ago)
Sarah took clothes to the cleaners three times last month. First, she brought 3 shirts and 2 pairs of slacks and paid $13.95. Then she brought 7 shirts, 2 pairs of slacks, and 2 sports coats and paid $34 89. Finally, she brought 5 shirts and 1 sports coat and paid $16.44. How much was she charged for each shirt, each pair of slacks, and each sports coat?

Let:

x shirt
y slacks
z coats

Day 1:  3x + 2y = 13.95
Day 2:  7x + 2y + 2z = 34.89
Day 3: 5x + 1z = 16.44

Solve simultaneouly to get:

x = 1.99,   y = 3.99,   z = 6.49

Hope this helps!
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#2
Educator
5 years ago
Please mark topic solved if satisfied with the answer
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