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5)
Solve the problem by multiplying first.
Jayce bought 4 bath towels and returned 3 hand towels. Mis sister Jayna bought 5 bath
towels and returned 6 hand towels. Jayce paid a total of $64 and Jayna paid a total of $44.
46 - 3h - 64
The system of equations Sb - 6h = 44 models this situation, where b is the price of
a bath towel and h is the price of a hand towel. How much does each kind of towel cost?
Bath towels cost $
each and hand towels cost $
each,

Respuesta :

sqdancefan

Answer:

  • bath: $28
  • hand: $16

Step-by-step explanation:

Apparently, your system of equations is supposed to be ...

  • 4b -3h = 64
  • 5b -6h = 44

We can multiply the first equation by 2 and subtract the second equation:

  2(4b -3h) -(5b -6h) = 2(64) -(44)

  3b = 84

  b = 28

Using the first equation, we can find the price of a hand towel:

  4b -64 = 3h

  h = (4/3)(b -16) . . . . . divide by 3 and factor out 4

  h = (4/3)(28 -16) = 16

Bath towels cost $28 each, and hand towels cost $16 each.

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