Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $13.95. Then he brought 7 shirts, 2 pairs of slacks, and 1 sports coat and paid $33.40. Finally, he brought 5 shirts and 2 sports coats and paid $24.93. How much was he charged for each shirt, each pair of slacks, and each sports coat? Matt was charged $ for each shirt, $ for each pair of slacks, and $ for each sports coat.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $13.95. Then he brought 7 shirts, 2 pairs
of slacks, and 1 sports coat and paid $33.40. Finally, he brought 5 shirts and 2 sports coats and paid $24.93. How much was he charged for each shirt,
each pair of slacks, and each sports coat?
Matt was charged $ for each shirt, $
for each pair of slacks, and $
for each sports coat.
Transcribed Image Text:Matt took clothes to the cleaners three times last month. First, he brought 4 shirts and 1 pair of slacks and paid $13.95. Then he brought 7 shirts, 2 pairs of slacks, and 1 sports coat and paid $33.40. Finally, he brought 5 shirts and 2 sports coats and paid $24.93. How much was he charged for each shirt, each pair of slacks, and each sports coat? Matt was charged $ for each shirt, $ for each pair of slacks, and $ for each sports coat.
Expert Solution
Step 1

Let Charge of One shirt = x

Let Charge of one pair of slacks = y

Let Charge of one sports coat = z

As per question given,

4x+y=$13.95

7x+2y+z = $33.40

5x+2z = $24.93

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