SOLUTION: Go the the grocery store to purchase coke and sprite. You have $10. Coke is $1.20 each and sprite is .80. What is the linear model of the situation.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Go the the grocery store to purchase coke and sprite. You have $10. Coke is $1.20 each and sprite is .80. What is the linear model of the situation.      Log On


   

Question 254243: Go the the grocery store to purchase coke and sprite. You have $10. Coke is $1.20 each and sprite is .80. What is the linear model of the situation.
Found 2 solutions by drk, solver91311:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Let C = coke and S = sprite.
1.2C + .8S = 10.
You could solve for S as
S = (4/3)C + 12.5

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the number of containers of Coke purchased. Let represent the number of containers of Sprite purchased. Convert all monetary amounts to cents (so that the relationship will have integer coefficients). Coke is then 120 cents per unit and Sprite is 80 cents per unit and the available funds are 1000 cents.

The amount expended for Coke is then the number of units of Coke purchased multiplied times the price per unit, to wit: cents. Likewise, the amount expended for Sprite is cents. The sum of these two amounts cannot exceed 1000 cents.



John