SOLUTION: what are the system of equations to the following problem. as a fundraiser the swim team sells nachos and tacos they make one dollar for every taco and two dollars for every nacho

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: what are the system of equations to the following problem. as a fundraiser the swim team sells nachos and tacos they make one dollar for every taco and two dollars for every nacho      Log On


   

Question 1184364: what are the system of equations to the following problem.
as a fundraiser the swim team sells nachos and tacos they make one dollar for every taco and two dollars for every nacho they sell the club cannot sell more than 100 tacos or 150 nachos the clubs goal is to make at least $200 in total profit
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


let x = # of tacos sold
let y = # of nachos sold

They can sell at most 100 tacos: x%3C=100

They can sell at most 150 nachos: y%3C=150

The profit must be at least $200: x%281%29%2By%282%29%3E=200

Obviously the numbers of tacos and nachos they sell can't be negative. So

(1) x%3E=0
(2) y%3E=0
(3) x%3E=100
(4) y%3C=150
(5) x%2B2y%3E=200