SOLUTION: A store sold 29 sweatshirts. White ones cost 9.95 and yellow ones cost $ 11.50 If 304.05 worth of sweatshirts were sold, how many of each were sold. Let x= the number of white

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Question 765677: A store sold 29 sweatshirts. White ones cost 9.95 and yellow ones cost $ 11.50
If 304.05 worth of sweatshirts were sold, how many of each were sold.
Let x= the number of white sweatshirts
Let y= the number of yellow sweatshirts
complete the system of equations x+y
$ x+y= $ 304.05

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A store sold 29 sweatshirts. White ones cost 9.95 and yellow ones cost $ 11.50
If 304.05 worth of sweatshirts were sold, how many of each were sold.
Let x= the number of white sweatshirts
Let y= the number of yellow sweatshirts
complete the system of equations x+y
$ x+y= $ 304.05
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Comment: Your equation says (# of white)+(# of yellow) = value
You cannot have an equation that equates # of to value.
# of can only equal # of and value of can only equal value of
----------------------
Equations:
Quantity Equation: x + y = 29
Value Equation::9.95x+11.50y = 304.05
------
Modify for elimination::
995x + 995y = 995*29
995x + 1150y = 30405
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Subtract and solve for "y":
155y = 1550
y = 10 (# of yellow shirts)
------
Solve for "x":
x + y = 29
x + 10 = 29
x = 19 (# of white shirts)
==============================
Cheers,
Stan H.

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