Question 1166967
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Of the two posted problems, I will solve here problem #2.


<pre>
    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(cross(than))}}}  {{{highlight(highlight(as))}}}  brand B. How many boxes of each brand will he purchase?
</pre>

<pre>
                   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 <= {{{600/320}}} = 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".    <U>ANSWER</U>
</pre>

Solved.


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