SOLUTION: I would be grateful for help breaking this down. Thank you. One day a store sold 33 sweatshirts. White ones cost​ $9.95 and yellow ones cost $13.50. In​ all, &#8203

Algebra ->  Systems-of-equations -> SOLUTION: I would be grateful for help breaking this down. Thank you. One day a store sold 33 sweatshirts. White ones cost​ $9.95 and yellow ones cost $13.50. In​ all, &#8203      Log On


   



Question 1125415: I would be grateful for help breaking this down. Thank you.
One day a store sold 33 sweatshirts. White ones cost​ $9.95 and yellow ones cost $13.50. In​ all, ​$374.50 worth of sweatshirts were sold. How many of each color were​ sold?
The store sold
___ white sweatshirts.

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

let white sweatshirts be x and yellow y
One day a store sold 33 sweatshirts:
x%2By=33.....eq.1

White ones cost $9.95 and yellow ones cost $13.50. In all, $374.50 worth of sweatshirts were sold.
9.95x%2B13.50y=374.50.....eq.2

solve this system:
x%2By=33.....eq.1
9.95x%2B13.50y=374.50.....eq.2
------------------------------------------
x%2By=33.....eq.1...solve or x
x=33-y.....eq.1a
substitute in eq.2

9.95%2833-y%29%2B13.50y=374.50.....eq.2..solve or y
328.35-9.95y%2B13.50y=374.50
-9.95y%2B13.50y=374.50-328.35
3.55y=46.15
y=46.15%2F3.55
y=13
go to x=33-y.....eq.1a,substitute 13 for y
x=33-13
x=20
so, 20 white sweatshirts and 13 yellow were sold

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

I would be grateful for help breaking this down. Thank you.
One day a store sold 33 sweatshirts. White ones cost​ $9.95 and yellow ones cost $13.50. In​ all, ​$374.50 worth of sweatshirts were sold. How many of each color were​ sold?
The store sold
___ white sweatshirts.
Let number of white sold, be W
Then number of yellow sold = 33 - W
We then get: 9.95W + 13.5(33 - W) = 374.5
9.95W + 445.5 - 13.5W = 374.5
9.95W - 13.5W = 374.5 - 445.5
- 3.55W = - 71
W, or white sold = highlight_green%28matrix%281%2C3%2C+%28-+71%29%2F%28-+3.55%29%2C+%22=%22%2C+20%29%29
Number of yellow sold = highlight_green%28matrix%281%2C3%2C+33+-+20%2C+%22=%22%2C+13%29%29