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The drama club is selling short-sleeved shirts for $5 Let x represent the number of short-sleeved shirts
each, and long-sleeved shirts for $10 each. They hope to ordered and let y represent the number of long-sleeve
sell all of the shirts they ordered, to earn a total of
shirts ordered.
$1,750. After the first week of the fundraiser, they sold How many short-sleeved shirts were ordered?
3
of the short-sleeved shirts and 15 of the long-sleeved
How many long-sleeved shirts were ordered?
shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
**+ y = 100

Answer :

This data is Inaccurate Data

            Equations of the system are

  • When The situation is described is modeled by the following system of equations:
  • Step first 5x + 10y = 1,750    
  • Step second x + y = 100

   Where are  

  • x = number of short-sleeved shirts
  • y = number of long-sleeved shirts

Divide first by 5:

  • Then third step will be  x + 2y = 350      

Multiplye secondly by -2:

-2x - 2y = -200

  • Add with the third one
  • -x = 150
  • x = -150
  • Then, The value of x should not be negative.  also, This happens because the problem is inaccurately stated. Not even selling 100 of the $10 shirts we can get to $1,750.
  • If the total shirts sold was 200, then it
  •  secondly x + y = 200        
  • And then x = 50, y=150 was an acceptable solution.

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