Question

Rachel took clothes to the cleaners three times last month. First, she brought 3 shirts and 1 pair of slacks and paid $11.46. Then she brought 5 shirts, 2 pairs of slacks,
and 1 sports coat and paid $27.92. Finally, she brought 5 shirts and 1 sports coat and paid $19.94. How much was she charged for each shirt, each pair of slacks, and
each sports coat?
Rachel was charged for each shirt, $ for each pair of slacks, and $ for each sports coat.
Matrixes

Answer 1

Answer:

• $2.49 each shirt
• $3.99 each slacks
• $7.49 each sports coat

Step-by-step explanation:

If we let s, p, c represent the cost of cleaning the shirts, pants, and coats, respectively, the problem information lets us write three equations:

  3s +1p +0c = 11.46

  5s +2p +1c = 27.92

  5s +0p +1c = 19.94

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A variety of methods and tools are available for solving these equations. We can do it "by hand" using elimination and substitution.

Subtracting the 3rd equation from the 2nd, we get ...

  (5s +2p +c) -(5s +c) = (27.92) -(19.94)

  2p = 7.98

  p = 7.98/2 = 3.99

Substituting this value into the first equation gives ...

  3s +1(3.99) = 11.46

  3s = 7.47 . . . . . . . . . . subtract 3.99

  s = 7.47/3 = 2.49

Substituting this value into the last equation gives ...

  5(2.49) +c = 19.94

  c = 7.49 . . . . . . . . . . . subtract 12.45

Rachel was charged ...

  $2.49 for each shirt

  $3.99 for each pair of slacks

  $7.49 for each sports coat

Answer 2

Answer:8.72 I think

Step-by-step explanation: