SOLUTION: The marching band holds a fund raiser each year in which they sell tshirts with the school name and mascot on it. The tshirts sell $7 and the sweatshirts sell for $15. The band ne

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The marching band holds a fund raiser each year in which they sell tshirts with the school name and mascot on it. The tshirts sell $7 and the sweatshirts sell for $15. The band ne      Log On


   

Question 780185: The marching band holds a fund raiser each year in which they sell tshirts with the school name and mascot on it. The tshirts sell $7 and the sweatshirts sell for $15. The band needs to raise $3000. Write a model that shows the number of tshirts and sweatshirts that must be sold. Then graph the model and determine three combinations of tshirts and sweatshirts that satisfy the model.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The tshirts sell $7 and the sweatshirts sell for $15.
The band needs to raise $3000.
Write a model that shows the number of tshirts and sweatshirts that must be sold.
Then graph the model and determine three combinations of tshirts and sweatshirts that satisfy the model.
:
Let x = no. of $15 sweatshirts
Let y = no. of $7 T-shirts
:
The equation
15x + 7y = 3000
Put in this form to graph
7y = -15x + 3000
y = -15%2F7x + 3000%2F7
The graph
+graph%28+300%2C+200%2C+-100%2C+300%2C+-100%2C+500%2C+%28-15%2F7%29x%2B%283000%2F7%29%29+
note that T-shirts are on the y axis, sweatshirts on the x axis
We have to deal with integers here
x=95, y =225
x=102, y=210
x=109, y=195
x=116, y=180