Question 1167810
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A conference spent $108 on 154 servings of cantaloupe and honeydew. If a cantaloupe melon costs $3 and serves four 
while a honeydew melon costs $4 and serves six, how many honeydew melons did the organizers buy?
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<pre>
Let x = the number of honeydew servings.

Then the number of the cantaloupe servings is (154-x).


Each single honeydew   serving costs {{{4/6}}} = {{{2/3}}}  dollars;

Each single cantaloupe serving costs {{{3/4}}}  dollars.


Write the money equation


    {{{(2/3)x + (3/4)*(154-x)}}} = 108  dollars.


Multiply both sides by 12


    8x + 9*(154-x) = 12*108.


From the equation

  
    x = {{{(12*108-9*154)/(8-9)}}} = 90.


90 honeydew servings means  {{{90/6}}} = 15  honeydew mellons.


<U>ANSWER</U>.  15  honeydew mellons.
</pre>

Solved.