SOLUTION: 1. Sam prepared a snack food that is prepared by mixing nuts and dried fruits and vegetables. A bag of nuts cost P40.00 and a bag of dried fruits cost P80.00. She would like to pre

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 1. Sam prepared a snack food that is prepared by mixing nuts and dried fruits and vegetables. A bag of nuts cost P40.00 and a bag of dried fruits cost P80.00. She would like to pre      Log On


   

Question 1166967: 1. Sam prepared a snack food that is prepared by mixing nuts and dried fruits and vegetables. A bag of nuts cost P40.00 and a bag of dried fruits cost P80.00. She would like to prepare 5 bags of the mixture that will cost P60.00 per bag. How many bags of nuts and dried fruits should Sam purchase?
2. Joseph was tasked to buy two brands of milk. The price of brand A per box is P100.00 and the price of brand B is P120.00. His budget is 600. He is to buy twice as many cans of brand A than brand B. How many boxes of each brand will he purchase?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Of the two posted problems, I will solve here problem #2. 

    2. Joseph was tasked to buy two brands of milk. The price of brand A per box is P100.00 
    and the price of brand B is P120.00. His budget is 600. He is to buy twice as many cans 
    of brand A highlight%28cross%28than%29%29  highlight%28highlight%28as%29%29  brand B. How many boxes of each brand will he purchase?


                   S O L U T I O N


Let x be the number of cans brand B.  Then the number of cans brand A is 2x.


Write the inequality for the budget

    100*(2x) + 120*x <= 600.


Simplify and get the solution for x

    200x + 120x <= 600,

    320x <= 600

       x <= 600%2F320 = 1.875.


Since x must be non-negative integer, we have two possible values for x:  0 and 1.


The '0' is degenerated solution, and only meaningful solution is 


    "two cans of brand A and one can of brand B".    ANSWER

Solved.

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