Answered

Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
Amanda is a hairdresser. Before her lunch break, she gave 1 haircut and colored the hair of 2
clients in 199 minutes. After lunch, she gave 2 haircuts and colored the hair of
2 clients in
226 minutes. How long does it take for Amanda to perform each type of service
, assuming
the amount of time doesn't vary from client to client?
It takes Amanda
hair.
minutes to give a haircut and
minutes to color a client's



Answer :

GinnyAnswer

Final answer:

Amanda takes 28 minutes for a haircut and 85 minutes for hair coloring, consistent with the given equations.


Explanation:

Let's define the variables:

  1. x: hours for a haircut
  2. y: hours for hair coloring

System of Equations:

1. x + 2y = 199

2. 2x + 2y = 226

Solving using elimination, subtract 2 times Equation 1 from Equation 2:

2x + 2y - 2(x + 2y) = 226 - 2199

x = 28

Thus, haircut takes 28 minutes and hair coloring takes 85 minutes.


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